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56257872 = 24311472267
BaseRepresentation
bin1101011010011…
…0110101010000
310220212012021220
43112212311100
5103400222442
65325445040
71252120056
oct326466520
9126765256
1056257872
1129835410
1216a10780
13b8698a8
1476861d6
154e13eec
hex35a6d50

56257872 has 80 divisors (see below), whose sum is σ = 161989632. Its totient is φ = 16677760.

The previous prime is 56257849. The next prime is 56257891. The reversal of 56257872 is 27875265.

56257872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23683 + ... + 25949.

Almost surely, 256257872 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 56257872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80994816).

56257872 is an abundant number, since it is smaller than the sum of its proper divisors (105731760).

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

56257872 is a wasteful number, since it uses less digits than its factorization.

56257872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2330 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 56257872 is about 7500.5247816403. The cubic root of 56257872 is about 383.1725891048.

The spelling of 56257872 in words is "fifty-six million, two hundred fifty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 752 1034 1128 1551 2068 2256 2267 3102 4136 4534 6204 6801 8272 9068 12408 13602 18136 24816 24937 27204 36272 49874 54408 74811 99748 106549 108816 149622 199496 213098 299244 319647 398992 426196 598488 639294 852392 1172039 1196976 1278588 1704784 2344078 2557176 3516117 4688156 5114352 7032234 9376312 14064468 18752624 28128936 56257872