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56120256 = 263347691
BaseRepresentation
bin1101011000010…
…1001111000000
310220121012112000
43112011033000
5103331322011
65322504000
71251004623
oct326051700
9126535460
1056120256
1129750a85
1216965000
13b81c06a
14764bdba
154dd8356
hex35853c0

56120256 has 112 divisors (see below), whose sum is σ = 168737280. Its totient is φ = 18282240.

The previous prime is 56120237. The next prime is 56120279. The reversal of 56120256 is 65202165.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80871 + ... + 81561.

Almost surely, 256120256 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 56120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84368640).

56120256 is an abundant number, since it is smaller than the sum of its proper divisors (112617024).

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

56120256 is a wasteful number, since it uses less digits than its factorization.

56120256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56120256 is about 7491.3454065341. The cubic root of 56120256 is about 382.8598996290.

The spelling of 56120256 in words is "fifty-six million, one hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 141 144 188 192 216 282 288 376 423 432 564 576 691 752 846 864 1128 1269 1382 1504 1692 1728 2073 2256 2538 2764 3008 3384 4146 4512 5076 5528 6219 6768 8292 9024 10152 11056 12438 13536 16584 18657 20304 22112 24876 27072 32477 33168 37314 40608 44224 49752 64954 66336 74628 81216 97431 99504 129908 132672 149256 194862 199008 259816 292293 298512 389724 398016 519632 584586 597024 779448 876879 1039264 1169172 1194048 1558896 1753758 2078528 2338344 3117792 3507516 4676688 6235584 7015032 9353376 14030064 18706752 28060128 56120256