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56835040 = 2551272797
BaseRepresentation
bin1101100011001…
…1101111100000
310221221112000111
43120303233200
5104022210130
65350101104
71260042553
oct330635740
9127845014
1056835040
112a09a009
121704a794
13ba0c502
14779669a
154eca02a
hex3633be0

56835040 has 48 divisors (see below), whose sum is σ = 135378432. Its totient is φ = 22546944.

The previous prime is 56835019. The next prime is 56835043. The reversal of 56835040 is 4053865.

It is a junction number, because it is equal to n+sod(n) for n = 56834993 and 56835011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56835043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18922 + ... + 21718.

It is an arithmetic number, because the mean of its divisors is an integer number (2820384).

Almost surely, 256835040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67689216).

56835040 is an abundant number, since it is smaller than the sum of its proper divisors (78543392).

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

56835040 is a wasteful number, since it uses less digits than its factorization.

56835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 56835040 is about 7538.9017767842. The cubic root of 56835040 is about 384.4784978306.

The spelling of 56835040 in words is "fifty-six million, eight hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 1016 1270 2032 2540 2797 4064 5080 5594 10160 11188 13985 20320 22376 27970 44752 55940 89504 111880 223760 355219 447520 710438 1420876 1776095 2841752 3552190 5683504 7104380 11367008 14208760 28417520 56835040