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56263788 = 22337193917
BaseRepresentation
bin1101011010100…
…0010001101100
310220212111102000
43112220101230
5103400420123
65325532300
71252143240
oct326502154
9126774360
1056263788
11298398a9
1216a14090
13b86c4a9
147688420
154e15b43
hex35a846c

56263788 has 96 divisors (see below), whose sum is σ = 175526400. Its totient is φ = 15225408.

The previous prime is 56263763. The next prime is 56263789. The reversal of 56263788 is 88736265.

56263788 is a `hidden beast` number, since 5 + 6 + 2 + 637 + 8 + 8 = 666.

It is a super-2 number, since 2×562637882 = 6331227680217888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56263789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12406 + ... + 16322.

It is an arithmetic number, because the mean of its divisors is an integer number (1828400).

Almost surely, 256263788 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 56263788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87763200).

56263788 is an abundant number, since it is smaller than the sum of its proper divisors (119262612).

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

56263788 is a wasteful number, since it uses less digits than its factorization.

56263788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3948 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 56263788 is about 7500.9191436783. The cubic root of 56263788 is about 383.1860199339.

The spelling of 56263788 in words is "fifty-six million, two hundred sixty-three thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 3917 4788 7182 7834 11751 14364 15668 23502 27419 35253 47004 54838 70506 74423 82257 105759 109676 141012 148846 164514 211518 223269 246771 297692 329028 423036 446538 493542 520961 669807 740313 893076 987084 1041922 1339614 1480626 1562883 2009421 2083844 2679228 2961252 3125766 4018842 4688649 6251532 8037684 9377298 14065947 18754596 28131894 56263788