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56085584 = 2417206197
BaseRepresentation
bin1101010111110…
…0110001010000
310220112102221212
43111330301100
5103324214314
65322035252
71250501552
oct325746120
9126472855
1056085584
1129727a25
1216948b28
13b809349
14763d4d2
154dcce3e
hex357cc50

56085584 has 20 divisors (see below), whose sum is σ = 115058484. Its totient is φ = 26393088.

The previous prime is 56085583. The next prime is 56085593. The reversal of 56085584 is 48558065.

56085584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52243984 + 3841600 = 7228^2 + 1960^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56085583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102827 + ... + 103370.

Almost surely, 256085584 is an apocalyptic number.

It is an amenable number.

56085584 is an abundant number, since it is smaller than the sum of its proper divisors (58972900).

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

56085584 is a wasteful number, since it uses less digits than its factorization.

56085584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206222 (or 206216 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 41.

The square root of 56085584 is about 7489.0309119405. The cubic root of 56085584 is about 382.7810377108.

The spelling of 56085584 in words is "fifty-six million, eighty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 206197 412394 824788 1649576 3299152 3505349 7010698 14021396 28042792 56085584