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56827980 = 22355111063
BaseRepresentation
bin1101100011001…
…0000001001100
310221221011100000
43120302001030
5104021443410
65350004300
71260013146
oct330620114
9127834300
1056827980
112a094780
1217046690
13ba09231
147793c96
154ec7dc0
hex363204c

56827980 has 144 divisors (see below), whose sum is σ = 195197184. Its totient is φ = 13763520.

The previous prime is 56827961. The next prime is 56828017. The reversal of 56827980 is 8972865.

56827980 is a `hidden beast` number, since 568 + 2 + 7 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52929 + ... + 53991.

It is an arithmetic number, because the mean of its divisors is an integer number (1355536).

Almost surely, 256827980 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 56827980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97598592).

56827980 is an abundant number, since it is smaller than the sum of its proper divisors (138369204).

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

56827980 is a wasteful number, since it uses less digits than its factorization.

56827980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 56827980 is about 7538.4335242808. The cubic root of 56827980 is about 384.4625773081.

The spelling of 56827980 in words is "fifty-six million, eight hundred twenty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1063 1188 1215 1485 1620 1782 1980 2126 2430 2673 2970 3189 3564 4252 4455 4860 5315 5346 5940 6378 8910 9567 10630 10692 11693 12756 13365 15945 17820 19134 21260 23386 26730 28701 31890 35079 38268 46772 47835 53460 57402 58465 63780 70158 86103 95670 105237 114804 116930 140316 143505 172206 175395 191340 210474 233860 258309 287010 315711 344412 350790 420948 430515 516618 526185 574020 631422 701580 861030 947133 1033236 1052370 1262844 1291545 1578555 1722060 1894266 2104740 2583090 2841399 3157110 3788532 4735665 5166180 5682798 6314220 9471330 11365596 14206995 18942660 28413990 56827980