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56432556 = 2232591632
BaseRepresentation
bin1101011101000…
…1011110101100
310221012001220200
43113101132230
5103421320211
65333313500
71253445255
oct327213654
9127161820
1056432556
1129944684
1216a95890
13b8cb25b
1476cdb2c
154e4ab56
hex35d17ac

56432556 has 54 divisors (see below), whose sum is σ = 145962180. Its totient is φ = 18378576.

The previous prime is 56432543. The next prime is 56432561. The reversal of 56432556 is 65523465.

It is a happy number.

56432556 is a `hidden beast` number, since 5 + 643 + 2 + 5 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56432556.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 346131 + ... + 346293.

Almost surely, 256432556 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 56432556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72981090).

56432556 is an abundant number, since it is smaller than the sum of its proper divisors (89529624).

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

56432556 is a wasteful number, since it uses less digits than its factorization.

56432556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 227 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 56432556 is about 7512.1605414155. The cubic root of 56432556 is about 383.5687704706.

Subtracting 56432556 from its reverse (65523465), we obtain a palindrome (9090909).

The spelling of 56432556 in words is "fifty-six million, four hundred thirty-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 163 177 236 326 354 489 531 652 708 978 1062 1467 1956 2124 2934 5868 9617 19234 26569 28851 38468 53138 57702 79707 86553 106276 115404 159414 173106 239121 318828 346212 478242 956484 1567571 3135142 4702713 6270284 9405426 14108139 18810852 28216278 56432556