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252663432 = 23376722447
BaseRepresentation
bin11110000111101…
…01011010001000
3122121102122001220
433003311122020
51004140212212
641023242040
76155414040
oct1703653210
9577378056
10252663432
1111a69285a
1270749320
1340465ab8
14257b0720
15172ad38c
hexf0f5688

252663432 has 64 divisors (see below), whose sum is σ = 732702720. Its totient is φ = 71108928.

The previous prime is 252663421. The next prime is 252663461. The reversal of 252663432 is 234366252.

252663432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252663393 and 252663402.

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, 33 + ... + 22479.

It is an arithmetic number, because the mean of its divisors is an integer number (11448480).

Almost surely, 2252663432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252663432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366351360).

252663432 is an abundant number, since it is smaller than the sum of its proper divisors (480039288).

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

252663432 is a wasteful number, since it uses less digits than its factorization.

252663432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22530 (or 22526 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

The square root of 252663432 is about 15895.3902751710. The cubic root of 252663432 is about 632.1897696962.

The spelling of 252663432 in words is "two hundred fifty-two million, six hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 22447 44894 67341 89788 134682 157129 179576 269364 314258 471387 538728 628516 942774 1257032 1503949 1885548 3007898 3771096 4511847 6015796 9023694 10527643 12031592 18047388 21055286 31582929 36094776 42110572 63165858 84221144 126331716 252663432