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56676096 = 2832171447
BaseRepresentation
bin1101100000110…
…0111100000000
310221122102222200
43120030330000
5104002113341
65342433200
71255511301
oct330147400
9127572880
1056676096
1129aa0654
1216b92800
13b985069
1477547a8
154e97db6
hex360cf00

56676096 has 108 divisors (see below), whose sum is σ = 173143152. Its totient is φ = 17768448.

The previous prime is 56676083. The next prime is 56676097. The reversal of 56676096 is 69067665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56676097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38445 + ... + 39891.

Almost surely, 256676096 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 56676096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86571576).

56676096 is an abundant number, since it is smaller than the sum of its proper divisors (116467056).

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

56676096 is a wasteful number, since it uses less digits than its factorization.

56676096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1469 counting only the distinct ones).

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

The square root of 56676096 is about 7528.3528078857. The cubic root of 56676096 is about 384.1197543162.

The spelling of 56676096 in words is "fifty-six million, six hundred seventy-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1447 1632 2176 2304 2448 2894 3264 4341 4352 4896 5788 6528 8682 9792 11576 13023 13056 17364 19584 23152 24599 26046 34728 39168 46304 49198 52092 69456 73797 92608 98396 104184 138912 147594 185216 196792 208368 221391 277824 295188 370432 393584 416736 442782 555648 590376 787168 833472 885564 1111296 1180752 1574336 1666944 1771128 2361504 3148672 3333888 3542256 4723008 6297344 7084512 9446016 14169024 18892032 28338048 56676096