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56568080 = 2451017001
BaseRepresentation
bin1101011111001…
…0100100010000
310221102221211002
43113302210100
5103440134310
65340241132
71254551342
oct327624420
9127387732
1056568080
1129a27488
1216b401a8
13b947b4a
147727292
154e75da5
hex35f2910

56568080 has 40 divisors (see below), whose sum is σ = 132841944. Its totient is φ = 22400000.

The previous prime is 56568053. The next prime is 56568103. The reversal of 56568080 is 8086565.

It can be written as a sum of positive squares in 4 ways, for example, as 16777216 + 39790864 = 4096^2 + 6308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4580 + ... + 11580.

Almost surely, 256568080 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 56568080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66420972).

56568080 is an abundant number, since it is smaller than the sum of its proper divisors (76273864).

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

56568080 is a wasteful number, since it uses less digits than its factorization.

56568080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7115 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 56568080 is about 7521.1754400492. The cubic root of 56568080 is about 383.8755745601.

The spelling of 56568080 in words is "fifty-six million, five hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 7001 8080 14002 28004 35005 56008 70010 112016 140020 280040 560080 707101 1414202 2828404 3535505 5656808 7071010 11313616 14142020 28284040 56568080