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56582405 = 5112574003
BaseRepresentation
bin1101011111011…
…0000100000101
310221110200110122
43113312010011
5103441114110
65340431325
71254641165
oct327660405
9127420418
1056582405
1129a37220
1216b48545
13b951519
14772c5a5
154e7a255
hex35f6105

56582405 has 16 divisors (see below), whose sum is σ = 74378304. Its totient is φ = 40980480.

The previous prime is 56582387. The next prime is 56582411. The reversal of 56582405 is 50428565.

56582405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56582405 - 224 = 39805189 is a prime.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 12134 + ... + 16136.

It is an arithmetic number, because the mean of its divisors is an integer number (4648644).

Almost surely, 256582405 is an apocalyptic number.

56582405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56582405 is a deficient number, since it is larger than the sum of its proper divisors (17795899).

56582405 is a wasteful number, since it uses less digits than its factorization.

56582405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276.

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 56582405 is about 7522.1276910193. The cubic root of 56582405 is about 383.9079753622.

The spelling of 56582405 in words is "fifty-six million, five hundred eighty-two thousand, four hundred five".

Divisors: 1 5 11 55 257 1285 2827 4003 14135 20015 44033 220165 1028771 5143855 11316481 56582405