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56686842 = 23219831997
BaseRepresentation
bin1101100000111…
…1100011111010
310221122222201200
43120033203322
5104002434332
65342555030
71255554522
oct330174372
9127588650
1056686842
1129aa8733
1216b98a76
13b989c14
147758682
154e9b17c
hex360f8fa

56686842 has 48 divisors (see below), whose sum is σ = 130908960. Its totient is φ = 17676576.

The previous prime is 56686829. The next prime is 56686843. The reversal of 56686842 is 24868665.

56686842 is a `hidden beast` number, since 566 + 8 + 6 + 84 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (56686843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27388 + ... + 29384.

It is an arithmetic number, because the mean of its divisors is an integer number (2727270).

Almost surely, 256686842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56686842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65454480).

56686842 is an abundant number, since it is smaller than the sum of its proper divisors (74222118).

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

56686842 is a wasteful number, since it uses less digits than its factorization.

56686842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2104 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 56686842 is about 7529.0664759982. The cubic root of 56686842 is about 384.1440296299.

The spelling of 56686842 in words is "fifty-six million, six hundred eighty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 83 114 166 171 249 342 498 747 1494 1577 1997 3154 3994 4731 5991 9462 11982 14193 17973 28386 35946 37943 75886 113829 165751 227658 331502 341487 497253 682974 994506 1491759 2983518 3149269 6298538 9447807 18895614 28343421 56686842