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56690766 = 23411291097
BaseRepresentation
bin1101100001000…
…0100001001110
310221200012010000
43120100201032
5104003101031
65343025130
71255602126
oct330204116
9127605100
1056690766
112a000680
1216b9b1a6
13b98b942
147759c86
154e9c3e6
hex361084e

56690766 has 80 divisors (see below), whose sum is σ = 143486640. Its totient is φ = 16571520.

The previous prime is 56690747. The next prime is 56690773. The reversal of 56690766 is 66709665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51130 + ... + 52226.

It is an arithmetic number, because the mean of its divisors is an integer number (1793583).

Almost surely, 256690766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56690766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71743320).

56690766 is an abundant number, since it is smaller than the sum of its proper divisors (86795874).

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

56690766 is a wasteful number, since it uses less digits than its factorization.

56690766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 56690766 is about 7529.3270615640. The cubic root of 56690766 is about 384.1528932176.

The spelling of 56690766 in words is "fifty-six million, six hundred ninety thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 162 174 198 261 297 319 522 594 638 783 891 957 1097 1566 1782 1914 2194 2349 2871 3291 4698 5742 6582 8613 9873 12067 17226 19746 24134 25839 29619 31813 36201 51678 59238 63626 72402 88857 95439 108603 177714 190878 217206 286317 325809 349943 572634 651618 699886 858951 977427 1049829 1717902 1954854 2099658 2576853 3149487 5153706 6298974 9448461 18896922 28345383 56690766