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56135046 = 23112167463
BaseRepresentation
bin1101011000100…
…0110110000110
310220121221210210
43112020312012
5103332310141
65323100250
71251066012
oct326106606
9126557723
1056135046
1129761100
1216971686
13b825a06
147653542
154ddc916
hex3588d86

56135046 has 48 divisors (see below), whose sum is σ = 124411392. Its totient is φ = 16872240.

The previous prime is 56135021. The next prime is 56135047. The reversal of 56135046 is 64053165.

It is a super-2 number, since 2×561350462 = 6302286778844232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56135047) 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, 121011 + ... + 121473.

It is an arithmetic number, because the mean of its divisors is an integer number (2591904).

Almost surely, 256135046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56135046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62205696).

56135046 is an abundant number, since it is smaller than the sum of its proper divisors (68276346).

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

56135046 is a wasteful number, since it uses less digits than its factorization.

56135046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 56135046 is about 7492.3324806098. The cubic root of 56135046 is about 382.8935297949.

The spelling of 56135046 in words is "fifty-six million, one hundred thirty-five thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 66 121 167 242 334 363 463 501 726 926 1002 1389 1837 2778 3674 5093 5511 10186 11022 15279 20207 30558 40414 56023 60621 77321 112046 121242 154642 168069 231963 336138 463926 850531 1701062 2551593 5103186 9355841 18711682 28067523 56135046