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252264504 = 23329362449
BaseRepresentation
bin11110000100101…
…00000000111000
3122120200100211210
433002110000320
51004034431004
641010523120
76152133012
oct1702240070
9576610753
10252264504
1111a440068
12705964a0
134035634b
14257091b2
1517230089
hexf094038

252264504 has 32 divisors (see below), whose sum is σ = 652410000. Its totient is φ = 81188352.

The previous prime is 252264499. The next prime is 252264511. The reversal of 252264504 is 405462252.

It is a happy number.

252264504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180529 + ... + 181920.

Almost surely, 2252264504 is an apocalyptic number.

252264504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252264504 is an abundant number, since it is smaller than the sum of its proper divisors (400145496).

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

252264504 is a wasteful number, since it uses less digits than its factorization.

252264504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362487 (or 362483 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 252264504 is about 15882.8367743297. The cubic root of 252264504 is about 631.8568748696.

The spelling of 252264504 in words is "two hundred fifty-two million, two hundred sixty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 362449 724898 1087347 1449796 2174694 2899592 4349388 8698776 10511021 21022042 31533063 42044084 63066126 84088168 126132252 252264504