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56276064 = 25321315031
BaseRepresentation
bin1101011010101…
…1010001100000
310220220010020200
43112223101200
5103401313224
65330105200
71252224105
oct326532140
9126803220
1056276064
1129848049
1216a1b200
13b874c60
14768caac
154e195c9
hex35ab460

56276064 has 72 divisors (see below), whose sum is σ = 172356912. Its totient is φ = 17314560.

The previous prime is 56276053. The next prime is 56276071. The reversal of 56276064 is 46067265.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3772 + ... + 11259.

It is an arithmetic number, because the mean of its divisors is an integer number (2393846).

Almost surely, 256276064 is an apocalyptic number.

It is an amenable number.

56276064 is an abundant number, since it is smaller than the sum of its proper divisors (116080848).

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

56276064 is a wasteful number, since it uses less digits than its factorization.

56276064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15060 (or 15049 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 56276064 is about 7501.7373987630. The cubic root of 56276064 is about 383.2138865818.

The spelling of 56276064 in words is "fifty-six million, two hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 15031 30062 45093 60124 90186 120248 135279 180372 195403 240496 270558 360744 390806 480992 541116 586209 721488 781612 1082232 1172418 1442976 1563224 1758627 2164464 2344836 3126448 3517254 4328928 4689672 6252896 7034508 9379344 14069016 18758688 28138032 56276064