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56522256 = 24371491129
BaseRepresentation
bin1101011110011…
…1011000010000
310221100121221220
43113213120100
5103432203011
65335245040
71254300630
oct327473020
9127317856
1056522256
11299a600a
1216b19780
13b93002b
1477146c0
154e67506
hex35e7610

56522256 has 80 divisors (see below), whose sum is σ = 168144000. Its totient is φ = 16026624.

The previous prime is 56522243. The next prime is 56522281. The reversal of 56522256 is 65222565.

56522256 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, 49500 + ... + 50628.

It is an arithmetic number, because the mean of its divisors is an integer number (2101800).

Almost surely, 256522256 is an apocalyptic number.

56522256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56522256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84072000).

56522256 is an abundant number, since it is smaller than the sum of its proper divisors (111621744).

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

56522256 is a wasteful number, since it uses less digits than its factorization.

56522256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 56522256 is about 7518.1284905221. The cubic root of 56522256 is about 383.7718914326.

The spelling of 56522256 in words is "fifty-six million, five hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 149 168 298 336 447 596 894 1043 1129 1192 1788 2086 2258 2384 3129 3387 3576 4172 4516 6258 6774 7152 7903 8344 9032 12516 13548 15806 16688 18064 23709 25032 27096 31612 47418 50064 54192 63224 94836 126448 168221 189672 336442 379344 504663 672884 1009326 1177547 1345768 2018652 2355094 2691536 3532641 4037304 4710188 7065282 8074608 9420376 14130564 18840752 28261128 56522256