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56792142 = 23211972957
BaseRepresentation
bin1101100010100…
…1010001001110
310221212100011200
43120221101032
5104014322032
65345130330
71256503521
oct330512116
9127770150
1056792142
112a06a860
12170299a6
13b9c5b24
147784bb8
154ebc47c
hex362944e

56792142 has 48 divisors (see below), whose sum is σ = 135665712. Its totient is φ = 17026560.

The previous prime is 56792123. The next prime is 56792167. The reversal of 56792142 is 24129765.

56792142 is a `hidden beast` number, since 567 + 92 + 1 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56792097 and 56792106.

It is a congruent number.

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, 17728 + ... + 20684.

It is an arithmetic number, because the mean of its divisors is an integer number (2826369).

Almost surely, 256792142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56792142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67832856).

56792142 is an abundant number, since it is smaller than the sum of its proper divisors (78873570).

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

56792142 is a wasteful number, since it uses less digits than its factorization.

56792142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3070 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 56792142 is about 7536.0561303642. The cubic root of 56792142 is about 384.3817411469.

The spelling of 56792142 in words is "fifty-six million, seven hundred ninety-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 2134 2957 3201 5914 6402 8871 9603 17742 19206 26613 32527 53226 65054 97581 195162 286829 292743 573658 585486 860487 1720974 2581461 3155119 5162922 6310238 9465357 18930714 28396071 56792142