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56225856 = 263973019
BaseRepresentation
bin1101011001111…
…1000001000000
310220210120101010
43112133001000
5103343211411
65325040520
71251624531
oct326370100
9126716333
1056225856
1129813355
12169b6140
13b85814b
147678688
154e097a6
hex359f040

56225856 has 56 divisors (see below), whose sum is σ = 150347680. Its totient is φ = 18542592.

The previous prime is 56225831. The next prime is 56225861. The reversal of 56225856 is 65852265.

It is a happy number.

It is a super-2 number, since 2×562258562 = 6322693765865472, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 17115 + ... + 20133.

It is an arithmetic number, because the mean of its divisors is an integer number (2684780).

Almost surely, 256225856 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 56225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75173840).

56225856 is an abundant number, since it is smaller than the sum of its proper divisors (94121824).

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

56225856 is a wasteful number, since it uses less digits than its factorization.

56225856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3121 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 56225856 is about 7498.3902272421. The cubic root of 56225856 is about 383.0998882776.

The spelling of 56225856 in words is "fifty-six million, two hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3019 3104 4656 6038 6208 9057 9312 12076 18114 18624 24152 36228 48304 72456 96608 144912 193216 289824 292843 579648 585686 878529 1171372 1757058 2342744 3514116 4685488 7028232 9370976 14056464 18741952 28112928 56225856