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56949568 = 261368449
BaseRepresentation
bin1101100100111…
…1101101000000
310222011100010021
43121033231000
5104034341233
65352343224
71261030504
oct331175500
9128140107
1056949568
112a168065
12170a4b14
13ba4c690
1477c6304
154eede2d
hex364fb40

56949568 has 28 divisors (see below), whose sum is σ = 121704100. Its totient is φ = 26284032.

The previous prime is 56949559. The next prime is 56949577. The reversal of 56949568 is 86594965.

56949568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56949559) and next prime (56949577).

It can be written as a sum of positive squares in 2 ways, for example, as 5798464 + 51151104 = 2408^2 + 7152^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

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, 33393 + ... + 35056.

It is an arithmetic number, because the mean of its divisors is an integer number (4346575).

Almost surely, 256949568 is an apocalyptic number.

It is an amenable number.

56949568 is an abundant number, since it is smaller than the sum of its proper divisors (64754532).

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

56949568 is a wasteful number, since it uses less digits than its factorization.

56949568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68474 (or 68464 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 52.

The square root of 56949568 is about 7546.4937553807. The cubic root of 56949568 is about 384.7365781111.

The spelling of 56949568 in words is "fifty-six million, nine hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 68449 136898 273796 547592 889837 1095184 1779674 2190368 3559348 4380736 7118696 14237392 28474784 56949568