Search a number
-
+
56265024 = 2631312237
BaseRepresentation
bin1101011010100…
…0100101000000
310220212120002210
43112220211000
5103400440044
65325542120
71252146654
oct326504500
9126776083
1056265024
112983a822
1216a14940
13b86cc1a
147688a64
154e161b9
hex35a8940

56265024 has 56 divisors (see below), whose sum is σ = 150071328. Its totient is φ = 18603520.

The previous prime is 56264977. The next prime is 56265029. The reversal of 56265024 is 42056265.

It is a junction number, because it is equal to n+sod(n) for n = 56264982 and 56265000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56265029) 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, 24034 + ... + 26270.

Almost surely, 256265024 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 56265024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75035664).

56265024 is an abundant number, since it is smaller than the sum of its proper divisors (93806304).

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

56265024 is a wasteful number, since it uses less digits than its factorization.

56265024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 56265024 is about 7501.0015331288. The cubic root of 56265024 is about 383.1888258502.

The spelling of 56265024 in words is "fifty-six million, two hundred sixty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 2237 3144 4192 4474 6288 6711 8384 8948 12576 13422 17896 25152 26844 35792 53688 71584 107376 143168 214752 293047 429504 586094 879141 1172188 1758282 2344376 3516564 4688752 7033128 9377504 14066256 18755008 28132512 56265024