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252963216 = 24331153233
BaseRepresentation
bin11110001001111…
…10100110010000
3122121222212022000
433010332212100
51004224310331
641033514000
76161103042
oct1704764620
9577885260
10252963216
1111a878010
1270872900
134053c39c
142584ba92
151731c0e6
hexf13e990

252963216 has 80 divisors (see below), whose sum is σ = 792121920. Its totient is φ = 76654080.

The previous prime is 252963209. The next prime is 252963307. The reversal of 252963216 is 612369252.

252963216 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 632 + 16 = 666.

252963216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21865 + ... + 31368.

It is an arithmetic number, because the mean of its divisors is an integer number (9901524).

Almost surely, 2252963216 is an apocalyptic number.

It is an amenable number.

252963216 is an abundant number, since it is smaller than the sum of its proper divisors (539158704).

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

252963216 is a wasteful number, since it uses less digits than its factorization.

252963216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53261 (or 53249 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 252963216 is about 15904.8173834219. The cubic root of 252963216 is about 632.4397009595.

The spelling of 252963216 in words is "two hundred fifty-two million, nine hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 53233 106466 159699 212932 319398 425864 479097 585563 638796 851728 958194 1171126 1277592 1437291 1756689 1916388 2342252 2555184 2874582 3513378 3832776 4684504 5270067 5749164 7026756 7665552 9369008 10540134 11498328 14053512 15810201 21080268 22996656 28107024 31620402 42160536 63240804 84321072 126481608 252963216