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56748132 = 22327435237
BaseRepresentation
bin1101100001111…
…0100001100100
310221210002210200
43120132201210
5104011420012
65344150500
71256231310
oct330364144
9127702720
1056748132
112a03a791
1217008430
13b9aba9c
147772b40
154eae3dc
hex361e864

56748132 has 72 divisors (see below), whose sum is σ = 167783616. Its totient is φ = 15833664.

The previous prime is 56748119. The next prime is 56748137. The reversal of 56748132 is 23184765.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56748137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8218 + ... + 13454.

It is an arithmetic number, because the mean of its divisors is an integer number (2330328).

Almost surely, 256748132 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 56748132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83891808).

56748132 is an abundant number, since it is smaller than the sum of its proper divisors (111035484).

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

56748132 is a wasteful number, since it uses less digits than its factorization.

56748132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297 (or 5292 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 56748132 is about 7533.1356021248. The cubic root of 56748132 is about 384.2824256932.

The spelling of 56748132 in words is "fifty-six million, seven hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5237 5418 10474 10836 15711 20948 31422 36659 47133 62844 73318 94266 109977 146636 188532 219954 225191 329931 439908 450382 659862 675573 900764 1319724 1351146 1576337 2026719 2702292 3152674 4053438 4729011 6305348 8106876 9458022 14187033 18916044 28374066 56748132