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252663984 = 24326532687
BaseRepresentation
bin11110000111101…
…01100010110000
3122121102122211100
433003311202300
51004140221414
641023244400
76155415456
oct1703654260
9577378740
10252663984
1111a693211
1270749700
1340466121
14257b09d6
15172ad609
hexf0f58b0

252663984 has 60 divisors (see below), whose sum is σ = 708454656. Its totient is φ = 84061056.

The previous prime is 252663973. The next prime is 252663997. The reversal of 252663984 is 489366252.

252663984 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 639 + 8 + 4 = 666.

252663984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 92689 + ... + 95375.

Almost surely, 2252663984 is an apocalyptic number.

252663984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252663984 is an abundant number, since it is smaller than the sum of its proper divisors (455790672).

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

252663984 is a wasteful number, since it uses less digits than its factorization.

252663984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3345 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 252663984 is about 15895.4076386861. The cubic root of 252663984 is about 632.1902300827.

The spelling of 252663984 in words is "two hundred fifty-two million, six hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 653 1306 1959 2612 2687 3918 5224 5374 5877 7836 8061 10448 10748 11754 15672 16122 21496 23508 24183 31344 32244 42992 47016 48366 64488 94032 96732 128976 193464 386928 1754611 3509222 5263833 7018444 10527666 14036888 15791499 21055332 28073776 31582998 42110664 63165996 84221328 126331992 252663984