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56106342 = 23231100549
BaseRepresentation
bin1101011000000…
…1110101100110
310220120111102200
43112001311212
5103330400332
65322315330
71250616225
oct326016546
9126514380
1056106342
1129741586
1216958b46
13b815926
147646cbc
154dd417c
hex3581d66

56106342 has 24 divisors (see below), whose sum is σ = 125486400. Its totient is φ = 18098640.

The previous prime is 56106331. The next prime is 56106343. The reversal of 56106342 is 24360165.

56106342 is a `hidden beast` number, since 5 + 610 + 6 + 3 + 42 = 666.

56106342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×561063422 = 6295843225241928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56106343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49717 + ... + 50832.

It is an arithmetic number, because the mean of its divisors is an integer number (5228600).

Almost surely, 256106342 is an apocalyptic number.

56106342 is an abundant number, since it is smaller than the sum of its proper divisors (69380058).

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

56106342 is a wasteful number, since it uses less digits than its factorization.

56106342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100588 (or 100585 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56106342 is about 7490.4166773284. The cubic root of 56106342 is about 382.8282559568.

The spelling of 56106342 in words is "fifty-six million, one hundred six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 100549 201098 301647 603294 904941 1809882 3117019 6234038 9351057 18702114 28053171 56106342