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252830988 = 223253132511
BaseRepresentation
bin11110001000111…
…10010100001100
3122121202010220200
433010132110030
51004211042423
641031013500
76160012404
oct1704362414
9577663820
10252830988
1111a797733
127080a290
13404c4147
1425815804
15172e2d43
hexf11e50c

252830988 has 36 divisors (see below), whose sum is σ = 651163968. Its totient is φ = 82686240.

The previous prime is 252830959. The next prime is 252831017. The reversal of 252830988 is 889038252.

252830988 is a `hidden beast` number, since 2 + 528 + 30 + 98 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (252830959) and next prime (252831017).

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

It is a super-2 number, since 2×2528309882 = 127847016986112288, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 64348 + ... + 68163.

It is an arithmetic number, because the mean of its divisors is an integer number (18087888).

Almost surely, 2252830988 is an apocalyptic number.

It is an amenable number.

252830988 is an abundant number, since it is smaller than the sum of its proper divisors (398332980).

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

252830988 is a wasteful number, since it uses less digits than its factorization.

252830988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132574 (or 132569 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 252830988 is about 15900.6599863025. The cubic root of 252830988 is about 632.3294862370.

The spelling of 252830988 in words is "two hundred fifty-two million, eight hundred thirty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 132511 265022 397533 530044 795066 1192599 1590132 2385198 4770396 7023083 14046166 21069249 28092332 42138498 63207747 84276996 126415494 252830988