52500 (number)
52,500 (fiftytwo thousand five hundred) is an even fivedigits composite number following 52499 and preceding 52501. In scientific notation, it is written as 5.25 × 10^{4}. The sum of its digits is 12. It has a total of 8 prime factors and 60 positive divisors. There are 12,000 positive integers (up to 52500) that are relatively prime to 52500.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 12
 Digital Root 3
Name
Short name  52 thousand 500 

Full name  fiftytwo thousand five hundred 
Notation
Scientific notation  5.25 × 10^{4} 

Engineering notation  52.5 × 10^{3} 
Prime Factorization of 52500
Prime Factorization 2^{2} × 3 × 5^{4} × 7
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  8  Total number of prime factors 
rad(n)  Radical  210  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 52,500 is 2^{2} × 3 × 5^{4} × 7. Since it has a total of 8 prime factors, 52,500 is a composite number.
Divisors of 52500
60 divisors
τ(n)  Total Divisors  60  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  174944  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  122444  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  2915.733  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  229.12878474779  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  18.005761843792  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 52,500 can be divided by 60 positive divisors (out of which 40 are even, and 20 are odd). The sum of these divisors (counting 52,500) is 174,944, the average is 29,15.,733.
Other Arithmetic Functions (n = 52500)
φ(n)  Euler Totient  12000  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  1500  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5360  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 12,000 positive integers (less than 52,500) that are coprime with 52,500. And there are approximately 5,360 prime numbers less than or equal to 52,500.
Divisibility of 52500
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  0  4  3 
The number 52,500 is divisible by 2, 3, 4, 5, 6 and 7.
Classification of 52500
By Arithmetic functions
 Refactorable
 Abundant
Expressible via specific sums
 Polite
 Practical
Other numbers
 Frugal
Base conversion (52500)
Base  System  Value 

2  Binary  1100110100010100 
3  Ternary  2200000110 
4  Quaternary  30310110 
5  Quinary  3140000 
6  Senary  1043020 
8  Octal  146424 
10  Decimal  52500 
12  Duodecimal  26470 
16  Hexadecimal  cd14 
20  Vigesimal  6b50 
36  Base36  14ic 
Basic calculations (n = 52500)
Multiplication
n×yn×2  105000 

n×3  157500 
n×4  210000 
n×5  262500 
Division
n÷yn÷2  26250.000 

n÷3  17500.000 
n÷4  13125.000 
n÷5  10500.000 
Exponentiation
n^{y}n^{2}  2756250000 

n^{3}  144703125000000 
n^{4}  7596914062500000000 
n^{5}  398837988281250000000000 
Nth Root
^{y}√n^{2}√n  229.12878474779 

^{3}√n  37.444361936093 
^{4}√n  15.137000520175 
^{5}√n  8.7908700598434 
52500 as geometric shapes
Circle
Radius = nDiameter  105000 

Circumference  329867.22862693 
Area  8659014751.4569 
Sphere
Radius = nVolume  6.0613103260198E+14 

Surface area  34636059005.827 
Circumference  329867.22862693 
Square
Length = nPerimeter  210000 

Area  2756250000 
Diagonal  74246.212024587 
Cube
Length = nSurface area  16537500000 

Volume  144703125000000 
Space diagonal  90932.667397366 
Equilateral Triangle
Length = nPerimeter  157500 

Area  1193491259.5904 
Altitude  45466.333698683 
Triangular Pyramid
Length = nSurface area  4773965038.3617 

Volume  17053426824397 
Height  42866.070498706 
Cryptographic Hash Functions
md5  71e6568104eea8c02b71b5980039cd90 

sha1  5a9d294aebad6e27bdf47d3b21189c9a8e7e7ddc 
sha256  955905943cf850add3f05d52d3d779672262ddb46efb23337112d51650b12b47 
sha512  1810adf7a52f9d66c672ab63a9a22f6fe5a0003f77528572d2516fcb89ffbb848663738ce97f9734e310a3018d476c7ec6cba0d170272f79d484a0967896b098 
ripemd160  26df2e8fbef2e7a242fac145b2383d2821dbcc5b 