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56352296 = 237111331227
BaseRepresentation
bin1101011011110…
…1111000101000
310221000222211002
43112331320220
5103411233141
65331454132
71252662260
oct326757050
9127028732
1056352296
112989a350
1216a57348
13b8a0870
1476ac7a0
154e31e9b
hex35bde28

56352296 has 128 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 19526400.

The previous prime is 56352239. The next prime is 56352311. The reversal of 56352296 is 69225365.

56352296 = 11832 + 11842 + ... + 12212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248135 + ... + 248361.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 256352296 is an apocalyptic number.

56352296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56352296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

56352296 is an abundant number, since it is smaller than the sum of its proper divisors (90735064).

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

56352296 is a wasteful number, since it uses less digits than its factorization.

56352296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its digits is 97200, while the sum is 38.

The square root of 56352296 is about 7506.8166355653. The cubic root of 56352296 is about 383.3868433598.

The spelling of 56352296 in words is "fifty-six million, three hundred fifty-two thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 31 44 52 56 62 77 88 91 104 124 143 154 182 217 227 248 286 308 341 364 403 434 454 572 616 682 728 806 868 908 1001 1144 1364 1589 1612 1736 1816 2002 2387 2497 2728 2821 2951 3178 3224 4004 4433 4774 4994 5642 5902 6356 7037 8008 8866 9548 9988 11284 11804 12712 14074 17479 17732 19096 19976 20657 22568 23608 28148 31031 32461 34958 35464 41314 49259 56296 62062 64922 69916 77407 82628 91481 98518 124124 129844 139832 154814 165256 182962 197036 227227 248248 259688 309628 365924 394072 454454 541849 619256 640367 731848 908908 1006291 1083698 1280734 1817816 2012582 2167396 2561468 4025164 4334792 5122936 7044037 8050328 14088074 28176148 56352296