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56687792 = 24717191567
BaseRepresentation
bin1101100000111…
…1110010110000
310221200001000212
43120033302300
5104003002132
65343003252
71255560350
oct330176260
9127601025
1056687792
1129aa9417
1216b99528
13b98a495
147758b60
154e9b5b2
hex360fcb0

56687792 has 80 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 21648384.

The previous prime is 56687791. The next prime is 56687863. The reversal of 56687792 is 29778665.

56687792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56687792.

It is not an unprimeable number, because it can be changed into a prime (56687791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35393 + ... + 36959.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 256687792 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 56687792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

56687792 is an abundant number, since it is smaller than the sum of its proper divisors (83303248).

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

56687792 is a wasteful number, since it uses less digits than its factorization.

56687792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1612 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 50.

The square root of 56687792 is about 7529.1295645646. The cubic root of 56687792 is about 384.1461755411.

The spelling of 56687792 in words is "fifty-six million, six hundred eighty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 646 952 1064 1292 1567 1904 2128 2261 2584 3134 4522 5168 6268 9044 10969 12536 18088 21938 25072 26639 29773 36176 43876 53278 59546 87752 106556 119092 175504 186473 208411 213112 238184 372946 416822 426224 476368 506141 745892 833644 1012282 1491784 1667288 2024564 2983568 3334576 3542987 4049128 7085974 8098256 14171948 28343896 56687792