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BaseRepresentation
bin1101011110010…
…0001010000000
310221022221212000
43113210022000
5103431242211
65335104000
71254214302
oct327441200
9127287760
1056509056
11299970aa
1216b12000
13b927016
14770d972
154e63656
hex35e4280

56509056 has 128 divisors (see below), whose sum is σ = 169646400. Its totient is φ = 18514944.

The previous prime is 56509051. The next prime is 56509147. The reversal of 56509056 is 65090565.

56509056 is a `hidden beast` number, since 565 + 0 + 90 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×565090562 = 6386546820022272, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 56509056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56509051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286750 + ... + 286946.

Almost surely, 256509056 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 56509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84823200).

56509056 is an abundant number, since it is smaller than the sum of its proper divisors (113137344).

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

56509056 is a wasteful number, since it uses less digits than its factorization.

56509056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 56509056 is about 7517.2505612092. The cubic root of 56509056 is about 383.7420142142.

It can be divided in two parts, 5650 and 9056, that added together give a triangular number (14706 = T171).

The spelling of 56509056 in words is "fifty-six million, five hundred nine thousand, fifty-six".