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56380566 = 23111316521
BaseRepresentation
bin1101011100010…
…0110010010110
310221002102121010
43113010302112
5103413134231
65332233050
71253140554
oct327046226
9127072533
1056380566
1129909610
1216a6b786
13b8b06a8
1476b8bd4
154e3a546
hex35c4c96

56380566 has 32 divisors (see below), whose sum is σ = 123970176. Its totient is φ = 16952000.

The previous prime is 56380549. The next prime is 56380573. The reversal of 56380566 is 66508365.

56380566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5386 + ... + 11906.

It is an arithmetic number, because the mean of its divisors is an integer number (3874068).

Almost surely, 256380566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56380566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61985088).

56380566 is an abundant number, since it is smaller than the sum of its proper divisors (67589610).

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

56380566 is a wasteful number, since it uses less digits than its factorization.

56380566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668.

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 56380566 is about 7508.6993547485. The cubic root of 56380566 is about 383.4509432866.

The spelling of 56380566 in words is "fifty-six million, three hundred eighty thousand, five hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 1441 2882 4323 6521 8646 13042 19563 39126 71731 143462 215193 430386 854251 1708502 2562753 5125506 9396761 18793522 28190283 56380566