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56924 = 22719107
BaseRepresentation
bin1101111001011100
32220002022
431321130
53310144
61115312
7324650
oct157134
986068
1056924
113984a
1228b38
131cbaa
1416a60
1511cee
hexde5c

56924 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 22896.

The previous prime is 56923. The next prime is 56929. The reversal of 56924 is 42965.

56924 is nontrivially palindromic in base 9.

Its product of digits (2160) is a multiple of the sum of its prime divisors (135).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 56893 and 56902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

256924 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 56924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

56924 is an abundant number, since it is smaller than the sum of its proper divisors (64036).

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

56924 is a wasteful number, since it uses less digits than its factorization.

56924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 56924 is about 238.5875101509. The cubic root of 56924 is about 38.4678992557.

The spelling of 56924 in words is "fifty-six thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 76 107 133 214 266 428 532 749 1498 2033 2996 4066 8132 14231 28462 56924