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56948544 = 263298869
BaseRepresentation
bin1101100100111…
…1011101000000
310222011021201100
43121033131000
5104034323134
65352334400
71261024512
oct331173500
9128137640
1056948544
112a167314
12170a4400
13ba4c083
1477c5bb2
154eed999
hex364f740

56948544 has 42 divisors (see below), whose sum is σ = 163234370. Its totient is φ = 18982656.

The previous prime is 56948543. The next prime is 56948557. The reversal of 56948544 is 44584965.

56948544 is a `hidden beast` number, since 5 + 69 + 48 + 544 = 666.

56948544 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 only one way, i.e., 56430144 + 518400 = 7512^2 + 720^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56948544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56948543) 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 5 ways as a sum of consecutive naturals, for example, 48859 + ... + 50010.

Almost surely, 256948544 is an apocalyptic number.

It is an amenable number.

56948544 is an abundant number, since it is smaller than the sum of its proper divisors (106285826).

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

56948544 is a wasteful number, since it uses less digits than its factorization.

56948544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98887 (or 98874 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 56948544 is about 7546.4259089982. The cubic root of 56948544 is about 384.7342721374.

The spelling of 56948544 in words is "fifty-six million, nine hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 98869 197738 296607 395476 593214 790952 889821 1186428 1581904 1779642 2372856 3163808 3559284 4745712 6327616 7118568 9491424 14237136 18982848 28474272 56948544