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56927728 = 241113139179
BaseRepresentation
bin1101100100101…
…0010111110000
310222010020011101
43121022113300
5104033141403
65352054144
71260610024
oct331122760
9128106141
1056927728
112a152710
1217094354
13ba42760
1477bc384
154ee771d
hex364a5f0

56927728 has 80 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 23581440.

The previous prime is 56927711. The next prime is 56927771. The reversal of 56927728 is 82772965.

56927728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 317943 + ... + 318121.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 256927728 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 56927728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

56927728 is an abundant number, since it is smaller than the sum of its proper divisors (74313872).

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

56927728 is a wasteful number, since it uses less digits than its factorization.

56927728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The square root of 56927728 is about 7545.0465870000. The cubic root of 56927728 is about 384.6873900223.

The spelling of 56927728 in words is "fifty-six million, nine hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 139 143 176 179 208 278 286 358 556 572 716 1112 1144 1432 1529 1807 1969 2224 2288 2327 2864 3058 3614 3938 4654 6116 7228 7876 9308 12232 14456 15752 18616 19877 24464 24881 25597 28912 31504 37232 39754 49762 51194 79508 99524 102388 159016 199048 204776 273691 318032 323453 398096 409552 547382 646906 1094764 1293812 2189528 2587624 3557983 4379056 5175248 7115966 14231932 28463864 56927728