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56688744 = 23371723863
BaseRepresentation
bin1101100001000…
…0000001101000
310221200002100010
43120100001220
5104003014434
65343011520
71255563210
oct330200150
9127602303
1056688744
1129aaa102
1216b99ba0
13b98aa48
147759240
154e9b9e9
hex3610068

56688744 has 128 divisors (see below), whose sum is σ = 179159040. Its totient is φ = 14564352.

The previous prime is 56688733. The next prime is 56688757. The reversal of 56688744 is 44788665.

It is a super-2 number, since 2×566887442 = 6427227392595072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56688693 and 56688702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65257 + ... + 66119.

It is an arithmetic number, because the mean of its divisors is an integer number (1399680).

Almost surely, 256688744 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 56688744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89579520).

56688744 is an abundant number, since it is smaller than the sum of its proper divisors (122470296).

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

56688744 is a wasteful number, since it uses less digits than its factorization.

56688744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 915 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 56688744 is about 7529.1927854186. The cubic root of 56688744 is about 384.1483259460.

The spelling of 56688744 in words is "fifty-six million, six hundred eighty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 23 24 28 34 42 46 51 56 68 69 84 92 102 119 136 138 161 168 184 204 238 276 322 357 391 408 476 483 552 644 714 782 863 952 966 1173 1288 1428 1564 1726 1932 2346 2589 2737 2856 3128 3452 3864 4692 5178 5474 6041 6904 8211 9384 10356 10948 12082 14671 16422 18123 19849 20712 21896 24164 29342 32844 36246 39698 44013 48328 58684 59547 65688 72492 79396 88026 102697 117368 119094 138943 144984 158792 176052 205394 238188 277886 308091 337433 352104 410788 416829 476376 555772 616182 674866 821576 833658 1012299 1111544 1232364 1349732 1667316 2024598 2362031 2464728 2699464 3334632 4049196 4724062 7086093 8098392 9448124 14172186 18896248 28344372 56688744