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56263680 = 2103351137
BaseRepresentation
bin1101011010100…
…0010000000000
310220212111021000
43112220100000
5103400414210
65325532000
71252143024
oct326502000
9126774230
1056263680
1129839810
1216a14000
13b86c425
147688384
154e15ac0
hex35a8400

56263680 has 352 divisors, whose sum is σ = 224023680. Its totient is φ = 13271040.

The previous prime is 56263679. The next prime is 56263699. The reversal of 56263680 is 8636265.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520622 + ... + 1520658.

Almost surely, 256263680 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 56263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112011840).

56263680 is an abundant number, since it is smaller than the sum of its proper divisors (167760000).

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

56263680 is a wasteful number, since it uses less digits than its factorization.

56263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 56263680 is about 7500.9119445571. The cubic root of 56263680 is about 383.1857747548.

The spelling of 56263680 in words is "fifty-six million, two hundred sixty-three thousand, six hundred eighty".