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52664256 = 263410159
BaseRepresentation
bin1100100011100…
…1011111000000
310200002121210000
43020321133000
5101440224011
65120440000
71206432051
oct310713700
9120077700
1052664256
1127800487
1215779000
13ababca8
146dcc728
154954356
hex32397c0

52664256 has 70 divisors (see below), whose sum is σ = 156128720. Its totient is φ = 17553024.

The previous prime is 52664231. The next prime is 52664263. The reversal of 52664256 is 65246625.

52664256 is a `hidden beast` number, since 5 + 2 + 6 + 642 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52664256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 105 + ... + 10263.

Almost surely, 252664256 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 52664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78064360).

52664256 is an abundant number, since it is smaller than the sum of its proper divisors (103464464).

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

52664256 is a wasteful number, since it uses less digits than its factorization.

52664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10183 (or 10164 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 52664256 is about 7257.0142620778. The cubic root of 52664256 is about 374.8337182786.

The spelling of 52664256 in words is "fifty-two million, six hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10159 20318 30477 40636 60954 81272 91431 121908 162544 182862 243816 274293 325088 365724 487632 548586 650176 731448 822879 975264 1097172 1462896 1645758 1950528 2194344 2925792 3291516 4388688 5851584 6583032 8777376 13166064 17554752 26332128 52664256