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56692116 = 223313149271
BaseRepresentation
bin1101100001000…
…0110110010100
310221200020222000
43120100312110
5104003121431
65343035300
71255606065
oct330206624
9127606860
1056692116
112a001698
1216b9bb30
13b98c440
14775a56c
154e9c9e6
hex3610d94

56692116 has 96 divisors (see below), whose sum is σ = 159936000. Its totient is φ = 17262720.

The previous prime is 56692109. The next prime is 56692133. The reversal of 56692116 is 61129665.

56692116 is a `hidden beast` number, since 566 + 92 + 1 + 1 + 6 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 209061 + ... + 209331.

It is an arithmetic number, because the mean of its divisors is an integer number (1666000).

Almost surely, 256692116 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 56692116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79968000).

56692116 is an abundant number, since it is smaller than the sum of its proper divisors (103243884).

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

56692116 is a wasteful number, since it uses less digits than its factorization.

56692116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 56692116 is about 7529.4167104763. The cubic root of 56692116 is about 384.1559425225.

The spelling of 56692116 in words is "fifty-six million, six hundred ninety-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 149 156 234 271 298 351 447 468 542 596 702 813 894 1084 1341 1404 1626 1788 1937 2439 2682 3252 3523 3874 4023 4878 5364 5811 7046 7317 7748 8046 9756 10569 11622 14092 14634 16092 17433 21138 23244 29268 31707 34866 40379 42276 52299 63414 69732 80758 95121 104598 121137 126828 161516 190242 209196 242274 363411 380484 484548 524927 726822 1049854 1090233 1453644 1574781 2099708 2180466 3149562 4360932 4724343 6299124 9448686 14173029 18897372 28346058 56692116