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56581088 = 2519293209
BaseRepresentation
bin1101011111010…
…1101111100000
310221110121122212
43113311233200
5103441043323
65340421252
71254634304
oct327655740
9127417585
1056581088
1129a36233
1216b47828
13b950a45
14772bd04
154e79b78
hex35f5be0

56581088 has 48 divisors (see below), whose sum is σ = 121338000. Its totient is φ = 25869312.

The previous prime is 56581087. The next prime is 56581097. The reversal of 56581088 is 88018565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56581087) 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, 16028 + ... + 19236.

It is an arithmetic number, because the mean of its divisors is an integer number (2527875).

Almost surely, 256581088 is an apocalyptic number.

56581088 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56581088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60669000).

56581088 is an abundant number, since it is smaller than the sum of its proper divisors (64756912).

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

56581088 is a wasteful number, since it uses less digits than its factorization.

56581088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 41.

The square root of 56581088 is about 7522.0401487894. The cubic root of 56581088 is about 383.9049967524.

The spelling of 56581088 in words is "fifty-six million, five hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 928 1102 2204 3209 4408 6418 8816 12836 17632 25672 51344 60971 93061 102688 121942 186122 243884 372244 487768 744488 975536 1488976 1768159 1951072 2977952 3536318 7072636 14145272 28290544 56581088