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56689416 = 2333737493
BaseRepresentation
bin1101100001000…
…0001100001000
310221200010021000
43120100030020
5104003030131
65343015000
71255565160
oct330201410
9127603230
1056689416
1129aaa663
1216b9a460
13b98b144
1477595a0
154e9bce6
hex3610308

56689416 has 64 divisors (see below), whose sum is σ = 179971200. Its totient is φ = 16196544.

The previous prime is 56689397. The next prime is 56689417. The reversal of 56689416 is 61498665.

56689416 is a `hidden beast` number, since 566 + 89 + 4 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (56689417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17235 + ... + 20258.

It is an arithmetic number, because the mean of its divisors is an integer number (2812050).

Almost surely, 256689416 is an apocalyptic number.

56689416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56689416 is an abundant number, since it is smaller than the sum of its proper divisors (123281784).

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

56689416 is a wasteful number, since it uses less digits than its factorization.

56689416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37515 (or 37505 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 56689416 is about 7529.2374115843. The cubic root of 56689416 is about 384.1498438643.

Subtracting 56689416 from its reverse (61498665), we obtain a square (4809249 = 21932).

The spelling of 56689416 in words is "fifty-six million, six hundred eighty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 37493 74986 112479 149972 224958 262451 299944 337437 449916 524902 674874 787353 899832 1012311 1049804 1349748 1574706 2024622 2099608 2362059 2699496 3149412 4049244 4724118 6298824 7086177 8098488 9448236 14172354 18896472 28344708 56689416