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56305632 = 2531734501
BaseRepresentation
bin1101011011001…
…0011111100000
310220221121210210
43112302133200
5103403240012
65330454120
71252406235
oct326623740
9126847723
1056305632
1129868289
1216a34340
13b885556
14769978c
154e2323c
hex35b27e0

56305632 has 48 divisors (see below), whose sum is σ = 156501072. Its totient is φ = 17664000.

The previous prime is 56305631. The next prime is 56305637. The reversal of 56305632 is 23650365.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 56305632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56305631) 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, 15619 + ... + 18882.

It is an arithmetic number, because the mean of its divisors is an integer number (3260439).

Almost surely, 256305632 is an apocalyptic number.

It is an amenable number.

56305632 is an abundant number, since it is smaller than the sum of its proper divisors (100195440).

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

56305632 is a wasteful number, since it uses less digits than its factorization.

56305632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34531 (or 34523 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 56305632 is about 7503.7078834400. The cubic root of 56305632 is about 383.2809896182.

Adding to 56305632 its reverse (23650365), we get a palindrome (79955997).

The spelling of 56305632 in words is "fifty-six million, three hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 34501 69002 103503 138004 207006 276008 414012 552016 586517 828024 1104032 1173034 1656048 1759551 2346068 3312096 3519102 4692136 7038204 9384272 14076408 18768544 28152816 56305632