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56246624 = 257293857
BaseRepresentation
bin1101011010010…
…0000101100000
310220211121212022
43112210011200
5103344342444
65325321012
71252042220
oct326440540
9126747768
1056246624
1129827a15
1216a06168
13b864735
147682080
154e109ee
hex35a4160

56246624 has 48 divisors (see below), whose sum is σ = 127135008. Its totient is φ = 23995392.

The previous prime is 56246611. The next prime is 56246653. The reversal of 56246624 is 42664265.

It is a super-2 number, since 2×562466242 = 6327365422794752, which contains 22 as substring.

It is a congruent number.

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, 65204 + ... + 66060.

It is an arithmetic number, because the mean of its divisors is an integer number (2648646).

Almost surely, 256246624 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 56246624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63567504).

56246624 is an abundant number, since it is smaller than the sum of its proper divisors (70888384).

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

56246624 is a wasteful number, since it uses less digits than its factorization.

56246624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1159 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 56246624 is about 7499.7749299562. The cubic root of 56246624 is about 383.1470506785.

The spelling of 56246624 in words is "fifty-six million, two hundred forty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 293 586 857 1172 1714 2051 2344 3428 4102 4688 5999 6856 8204 9376 11998 13712 16408 23996 27424 32816 47992 65632 95984 191968 251101 502202 1004404 1757707 2008808 3515414 4017616 7030828 8035232 14061656 28123312 56246624