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56402256 = 24323471087
BaseRepresentation
bin1101011100101…
…0000101010000
310221010112100110
43113022011100
5103414333011
65332521320
71253261031
oct327120520
9127115313
1056402256
1129923939
1216a80240
13b8ba521
1476c2a88
154e41ba6
hex35ca150

56402256 has 80 divisors (see below), whose sum is σ = 155418624. Its totient is φ = 17584512.

The previous prime is 56402251. The next prime is 56402257. The reversal of 56402256 is 65220465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56402251) by changing a digit.

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, 51345 + ... + 52431.

Almost surely, 256402256 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 56402256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77709312).

56402256 is an abundant number, since it is smaller than the sum of its proper divisors (99016368).

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

56402256 is a wasteful number, since it uses less digits than its factorization.

56402256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 56402256 is about 7510.1435405723. The cubic root of 56402256 is about 383.5001090733.

The spelling of 56402256 in words is "fifty-six million, four hundred two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 47 48 69 92 94 138 141 184 188 276 282 368 376 552 564 752 1081 1087 1104 1128 2162 2174 2256 3243 3261 4324 4348 6486 6522 8648 8696 12972 13044 17296 17392 25001 25944 26088 50002 51089 51888 52176 75003 100004 102178 150006 153267 200008 204356 300012 306534 400016 408712 600024 613068 817424 1175047 1200048 1226136 2350094 2452272 3525141 4700188 7050282 9400376 14100564 18800752 28201128 56402256