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52115625 = 325517109
BaseRepresentation
bin1100011011001…
…1100010101001
310122001202012100
43012303202221
5101320200000
65101004013
71201655412
oct306634251
9118052170
1052115625
1127466271
1215553609
13aa49363
146cc8809
154896a00
hex31b38a9

52115625 has 72 divisors (see below), whose sum is σ = 100540440. Its totient is φ = 25920000.

The previous prime is 52115603. The next prime is 52115629. The reversal of 52115625 is 52651125.

52115625 is a `hidden beast` number, since 5 + 21 + 15 + 625 = 666.

52115625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 47941776 + 4173849 = 6924^2 + 2043^2 .

It is not a de Polignac number, because 52115625 - 26 = 52115561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52115629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478071 + ... + 478179.

It is an arithmetic number, because the mean of its divisors is an integer number (1396395).

Almost surely, 252115625 is an apocalyptic number.

It is an amenable number.

52115625 is a deficient number, since it is larger than the sum of its proper divisors (48424815).

52115625 is a wasteful number, since it uses less digits than its factorization.

52115625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 52115625 is about 7219.1152504999. The cubic root of 52115625 is about 373.5275593499.

The spelling of 52115625 in words is "fifty-two million, one hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 109 125 153 225 255 327 375 425 545 625 765 981 1125 1275 1635 1853 1875 2125 2725 3125 3825 4905 5559 5625 6375 8175 9265 9375 10625 13625 16677 19125 24525 27795 28125 31875 40875 46325 53125 68125 83385 95625 122625 138975 159375 204375 231625 340625 416925 478125 613125 694875 1021875 1158125 2084625 3065625 3474375 5790625 10423125 17371875 52115625