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252363816 = 23331168351
BaseRepresentation
bin11110000101011…
…00010000101000
3122120212102002000
433002230100220
51004101120231
641013011000
76153025365
oct1702542050
9576772060
10252363816
1111a4a8741
1270623a60
134038c603
142573346c
151724e6e6
hexf0ac428

252363816 has 32 divisors (see below), whose sum is σ = 701011200. Its totient is φ = 84121200.

The previous prime is 252363809. The next prime is 252363817. The reversal of 252363816 is 618363252.

It is a happy number.

252363816 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 638 + 16 = 666.

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 not an unprimeable number, because it can be changed into a prime (252363817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583960 + ... + 584391.

It is an arithmetic number, because the mean of its divisors is an integer number (21906600).

Almost surely, 2252363816 is an apocalyptic number.

It is an amenable number.

252363816 is an abundant number, since it is smaller than the sum of its proper divisors (448647384).

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

252363816 is a wasteful number, since it uses less digits than its factorization.

252363816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168366 (or 1168356 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 252363816 is about 15885.9628603368. The cubic root of 252363816 is about 631.9397808884.

The spelling of 252363816 in words is "two hundred fifty-two million, three hundred sixty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1168351 2336702 3505053 4673404 7010106 9346808 10515159 14020212 21030318 28040424 31545477 42060636 63090954 84121272 126181908 252363816