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56683536 = 24371319683
BaseRepresentation
bin1101100000111…
…0110000010000
310221122211012020
43120032300100
5104002333121
65342531440
71255542060
oct330166020
9127584166
1056683536
1129aa61a8
1216b96b80
13b988570
1477573a0
154e9a1c6
hex360ec10

56683536 has 160 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 14141952.

The previous prime is 56683513. The next prime is 56683567. The reversal of 56683536 is 63538665.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 82651 + ... + 83333.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 256683536 is an apocalyptic number.

56683536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56683536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

56683536 is an abundant number, since it is smaller than the sum of its proper divisors (133304304).

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

56683536 is a wasteful number, since it uses less digits than its factorization.

56683536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 56683536 is about 7528.8469236663. The cubic root of 56683536 is about 384.1365616720.

The spelling of 56683536 in words is "fifty-six million, six hundred eighty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 683 728 741 798 912 988 1064 1092 1366 1456 1482 1596 1729 1976 2049 2128 2184 2732 2964 3192 3458 3952 4098 4368 4781 5187 5464 5928 6384 6916 8196 8879 9562 10374 10928 11856 12977 13832 14343 16392 17758 19124 20748 25954 26637 27664 28686 32784 35516 38248 38931 41496 51908 53274 57372 62153 71032 76496 77862 82992 90839 103816 106548 114744 124306 142064 155724 168701 181678 186459 207632 213096 229488 248612 272517 311448 337402 363356 372918 426192 497224 506103 545034 622896 674804 726712 745836 994448 1012206 1090068 1180907 1349608 1453424 1491672 2024412 2180136 2361814 2699216 2983344 3542721 4048824 4360272 4723628 7085442 8097648 9447256 14170884 18894512 28341768 56683536