Search a number
-
+
56590864 = 24111372347
BaseRepresentation
bin1101011111100…
…0001000010000
310221111010001221
43113320020100
5103441401424
65340534424
71255004641
oct327701020
9127433057
1056590864
1129a42610
1216b51414
13b955325
1477316c8
154e7c9e4
hex35f8210

56590864 has 40 divisors (see below), whose sum is σ = 120536928. Its totient is φ = 25524480.

The previous prime is 56590847. The next prime is 56590883. The reversal of 56590864 is 46809565.

It is a self number, because there is not a number n which added to its sum of digits gives 56590864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22939 + ... + 25285.

Almost surely, 256590864 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 56590864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60268464).

56590864 is an abundant number, since it is smaller than the sum of its proper divisors (63946064).

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

56590864 is a wasteful number, since it uses less digits than its factorization.

56590864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 56590864 is about 7522.6899444281. The cubic root of 56590864 is about 383.9271056657.

The spelling of 56590864 in words is "fifty-six million, five hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 137 176 274 548 1096 1507 2192 2347 3014 4694 6028 9388 12056 18776 24112 25817 37552 51634 103268 206536 321539 413072 643078 1286156 2572312 3536929 5144624 7073858 14147716 28295432 56590864