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252135984 = 24313074019
BaseRepresentation
bin11110000011101…
…00101000110000
3122120102211112210
433001310220300
51004021322414
641004052120
76151056222
oct1701645060
9576384483
10252135984
1111a362551
1270534040
134030c9b9
14256b4412
1517206e59
hexf074a30

252135984 has 40 divisors (see below), whose sum is σ = 652011840. Its totient is φ = 83960128.

The previous prime is 252135979. The next prime is 252135991. The reversal of 252135984 is 489531252.

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, 60727 + ... + 64745.

It is an arithmetic number, because the mean of its divisors is an integer number (16300296).

Almost surely, 2252135984 is an apocalyptic number.

252135984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252135984 is an abundant number, since it is smaller than the sum of its proper divisors (399875856).

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

252135984 is a wasteful number, since it uses less digits than its factorization.

252135984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5331 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 252135984 is about 15878.7903821418. The cubic root of 252135984 is about 631.7495536006.

The spelling of 252135984 in words is "two hundred fifty-two million, one hundred thirty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1307 2614 3921 4019 5228 7842 8038 10456 12057 15684 16076 20912 24114 31368 32152 48228 62736 64304 96456 192912 5252833 10505666 15758499 21011332 31516998 42022664 63033996 84045328 126067992 252135984