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252257076 = 223231122531
BaseRepresentation
bin11110000100100…
…10001100110100
3122120122222122200
433002102030310
51004034211301
641010424500
76152102241
oct1702221464
9576588580
10252257076
1111a435525
1270592130
1340352b56
14257065c8
151722cc86
hexf092334

252257076 has 36 divisors (see below), whose sum is σ = 639728544. Its totient is φ = 83811600.

The previous prime is 252257069. The next prime is 252257087. The reversal of 252257076 is 670752252.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 252257076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70 + ... + 22461.

Almost surely, 2252257076 is an apocalyptic number.

It is an amenable number.

252257076 is an abundant number, since it is smaller than the sum of its proper divisors (387471468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252257076 is a wasteful number, since it uses less digits than its factorization.

252257076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22852 (or 22847 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 252257076 is about 15882.6029352874. The cubic root of 252257076 is about 631.8506730737.

The spelling of 252257076 in words is "two hundred fifty-two million, two hundred fifty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 311 622 933 1244 1866 2799 3732 5598 11196 22531 45062 67593 90124 135186 202779 270372 405558 811116 7007141 14014282 21021423 28028564 42042846 63064269 84085692 126128538 252257076