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252513837 = 32101277793
BaseRepresentation
bin11110000110100…
…00111000101101
3122121011000212100
433003100320231
51004120420322
641020125313
76154221642
oct1703207055
9577130770
10252513837
1111a5a0424
1270696839
1340412994
1425771dc9
151727ddac
hexf0d0e2d

252513837 has 12 divisors (see below), whose sum is σ = 368354844. Its totient is φ = 166675200.

The previous prime is 252513829. The next prime is 252513839. The reversal of 252513837 is 738315252.

It is a happy number.

252513837 is a `hidden beast` number, since 25 + 251 + 383 + 7 = 666.

252513837 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 2 ways, for example, as 249197796 + 3316041 = 15786^2 + 1821^2 .

It is not a de Polignac number, because 252513837 - 23 = 252513829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252513839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137988 + ... + 139805.

It is an arithmetic number, because the mean of its divisors is an integer number (30696237).

Almost surely, 2252513837 is an apocalyptic number.

It is an amenable number.

252513837 is a deficient number, since it is larger than the sum of its proper divisors (115841007).

252513837 is a wasteful number, since it uses less digits than its factorization.

252513837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277900 (or 277897 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 252513837 is about 15890.6839689171. The cubic root of 252513837 is about 632.0649777301.

It can be divided in two parts, 252 and 513837, that added together give a square (514089 = 7172).

The spelling of 252513837 in words is "two hundred fifty-two million, five hundred thirteen thousand, eight hundred thirty-seven".

Divisors: 1 3 9 101 303 909 277793 833379 2500137 28057093 84171279 252513837