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56312016 = 24347109229
BaseRepresentation
bin1101011011010…
…0000011010000
310220221221120020
43112310003100
5103403441031
65330543440
71252433655
oct326640320
9126857506
1056312016
1129872062
1216a37b80
13b888427
14769bc2c
154e25096
hex35b40d0

56312016 has 80 divisors (see below), whose sum is σ = 150585600. Its totient is φ = 18123264.

The previous prime is 56311993. The next prime is 56312021. The reversal of 56312016 is 61021365.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 245790 + ... + 246018.

It is an arithmetic number, because the mean of its divisors is an integer number (1882320).

Almost surely, 256312016 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 56312016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75292800).

56312016 is an abundant number, since it is smaller than the sum of its proper divisors (94273584).

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

56312016 is a wasteful number, since it uses less digits than its factorization.

56312016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56312016 is about 7504.1332610769. The cubic root of 56312016 is about 383.2954746900.

The spelling of 56312016 in words is "fifty-six million, three hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 109 141 188 218 229 282 327 376 436 458 564 654 687 752 872 916 1128 1308 1374 1744 1832 2256 2616 2748 3664 5123 5232 5496 10246 10763 10992 15369 20492 21526 24961 30738 32289 40984 43052 49922 61476 64578 74883 81968 86104 99844 122952 129156 149766 172208 199688 245904 258312 299532 399376 516624 599064 1173167 1198128 2346334 3519501 4692668 7039002 9385336 14078004 18770672 28156008 56312016