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56420586 = 23217473923
BaseRepresentation
bin1101011100111…
…0100011101010
310221011110111100
43113032203222
5103420424321
65333142230
71253365335
oct327164352
9127143440
1056420586
1129936692
1216a8a976
13b8c5981
1476c961c
154e47326
hex35ce8ea

56420586 has 48 divisors (see below), whose sum is σ = 132223104. Its totient is φ = 17319552.

The previous prime is 56420563. The next prime is 56420591. The reversal of 56420586 is 68502465.

56420586 is a `hidden beast` number, since 5 + 642 + 0 + 5 + 8 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56420586.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12421 + ... + 16343.

It is an arithmetic number, because the mean of its divisors is an integer number (2754648).

Almost surely, 256420586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56420586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66111552).

56420586 is an abundant number, since it is smaller than the sum of its proper divisors (75802518).

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

56420586 is a wasteful number, since it uses less digits than its factorization.

56420586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3992 counting only the distinct ones).

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

The square root of 56420586 is about 7511.3637909503. The cubic root of 56420586 is about 383.5416487571.

The spelling of 56420586 in words is "fifty-six million, four hundred twenty thousand, five hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 282 306 423 799 846 1598 2397 3923 4794 7191 7846 11769 14382 23538 35307 66691 70614 133382 184381 200073 368762 400146 553143 600219 1106286 1200438 1659429 3134477 3318858 6268954 9403431 18806862 28210293 56420586