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56269728 = 2534171277
BaseRepresentation
bin1101011010100…
…1101110100000
310220212210120000
43112221232200
5103401112403
65330020000
71252166454
oct326515640
9126783500
1056269728
1129843309
1216a17600
13b8720c8
14768a664
154e177a3
hex35a9ba0

56269728 has 120 divisors (see below), whose sum is σ = 175359492. Its totient is φ = 17639424.

The previous prime is 56269727. The next prime is 56269747. The reversal of 56269728 is 82796265.

56269728 is a `hidden beast` number, since 562 + 69 + 7 + 28 = 666.

56269728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 2862864 = 7308^2 + 1692^2 .

It is not an unprimeable number, because it can be changed into a prime (56269721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43426 + ... + 44702.

Almost surely, 256269728 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 56269728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87679746).

56269728 is an abundant number, since it is smaller than the sum of its proper divisors (119089764).

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

56269728 is a wasteful number, since it uses less digits than its factorization.

56269728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1299 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 56269728 is about 7501.3150847035. The cubic root of 56269728 is about 383.1995043018.

The spelling of 56269728 in words is "fifty-six million, two hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1277 1296 1377 1632 1836 2448 2554 2592 2754 3672 3831 4896 5108 5508 7344 7662 10216 11016 11493 14688 15324 20432 21709 22032 22986 30648 34479 40864 43418 44064 45972 61296 65127 68958 86836 91944 103437 122592 130254 137916 173672 183888 195381 206874 260508 275832 347344 367776 390762 413748 521016 551664 586143 694688 781524 827496 1042032 1103328 1172286 1563048 1654992 1758429 2084064 2344572 3126096 3309984 3516858 4689144 6252192 7033716 9378288 14067432 18756576 28134864 56269728