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56584413 = 341936767
BaseRepresentation
bin1101011111011…
…0100011011101
310221110210020000
43113312203131
5103441200123
65340444513
71254650064
oct327664335
9127423200
1056584413
1129a38786
1216b49739
13b952402
14772d1db
154e7ab43
hex35f68dd

56584413 has 20 divisors (see below), whose sum is σ = 88978560. Its totient is φ = 35736552.

The previous prime is 56584403. The next prime is 56584441. The reversal of 56584413 is 31448565.

It is a happy number.

56584413 is a `hidden beast` number, since 565 + 84 + 4 + 13 = 666.

It is not a de Polignac number, because 56584413 - 26 = 56584349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56584403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16845 + ... + 19922.

It is an arithmetic number, because the mean of its divisors is an integer number (4448928).

Almost surely, 256584413 is an apocalyptic number.

It is an amenable number.

56584413 is a deficient number, since it is larger than the sum of its proper divisors (32394147).

56584413 is a wasteful number, since it uses less digits than its factorization.

56584413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36798 (or 36789 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 56584413 is about 7522.2611627090. The cubic root of 56584413 is about 383.9125166921.

The spelling of 56584413 in words is "fifty-six million, five hundred eighty-four thousand, four hundred thirteen".

Divisors: 1 3 9 19 27 57 81 171 513 1539 36767 110301 330903 698573 992709 2095719 2978127 6287157 18861471 56584413