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56675376 = 243643113
BaseRepresentation
bin1101100000110…
…0110000110000
310221122102000000
43120030300300
5104002103001
65342430000
71255506222
oct330146060
9127572000
1056675376
1129aa005a
1216b92300
13b984934
147754412
154e97a86
hex360cc30

56675376 has 140 divisors (see below), whose sum is σ = 169957128. Its totient is φ = 18289152.

The previous prime is 56675369. The next prime is 56675383. The reversal of 56675376 is 67357665.

56675376 is a `hidden beast` number, since 56 + 67 + 537 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (56675369) and next prime (56675383).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 501496 + ... + 501608.

Almost surely, 256675376 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 56675376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84978564).

56675376 is an abundant number, since it is smaller than the sum of its proper divisors (113281752).

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

56675376 is a wasteful number, since it uses less digits than its factorization.

56675376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 56675376 is about 7528.3049885084. The cubic root of 56675376 is about 384.1181277198.

The spelling of 56675376 in words is "fifty-six million, six hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 113 129 144 162 172 216 226 243 258 324 339 344 387 432 452 486 516 648 678 688 729 774 904 972 1017 1032 1161 1296 1356 1458 1548 1808 1944 2034 2064 2322 2712 2916 3051 3096 3483 3888 4068 4644 4859 5424 5832 6102 6192 6966 8136 9153 9288 9718 10449 11664 12204 13932 14577 16272 18306 18576 19436 20898 24408 27459 27864 29154 31347 36612 38872 41796 43731 48816 54918 55728 58308 62694 73224 77744 82377 83592 87462 109836 116616 125388 131193 146448 164754 167184 174924 219672 233232 250776 262386 329508 349848 393579 439344 501552 524772 659016 699696 787158 1049544 1180737 1318032 1574316 2099088 2361474 3148632 3542211 4722948 6297264 7084422 9445896 14168844 18891792 28337688 56675376