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56682990 = 2345713769
BaseRepresentation
bin1101100000111…
…0100111101110
310221122210110000
43120032213232
5104002323430
65342525130
71255540350
oct330164756
9127583400
1056682990
1129aa5851
1216b967a6
13b988240
1477570d0
154e99e60
hex360e9ee

56682990 has 160 divisors (see below), whose sum is σ = 187830720. Its totient is φ = 11943936.

The previous prime is 56682979. The next prime is 56683013. The reversal of 56682990 is 9928665.

56682990 is a `hidden beast` number, since 566 + 82 + 9 + 9 + 0 = 666.

It is a super-2 number, since 2×566829902 = 6425922710680200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73326 + ... + 74094.

It is an arithmetic number, because the mean of its divisors is an integer number (1173942).

Almost surely, 256682990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56682990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93915360).

56682990 is an abundant number, since it is smaller than the sum of its proper divisors (131147730).

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

56682990 is a wasteful number, since it uses less digits than its factorization.

56682990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 56682990 is about 7528.8106630463. The cubic root of 56682990 is about 384.1353282789.

The spelling of 56682990 in words is "fifty-six million, six hundred eighty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 769 810 819 910 945 1053 1134 1170 1365 1538 1638 1755 1890 2106 2307 2457 2730 2835 3510 3845 4095 4614 4914 5265 5383 5670 6921 7371 7690 8190 9997 10530 10766 11535 12285 13842 14742 16149 19994 20763 23070 24570 26915 29991 32298 34605 36855 41526 48447 49985 53830 59982 62289 69210 69979 73710 80745 89973 96894 99970 103815 124578 139958 145341 149955 161490 179946 207630 209937 242235 269919 290682 299910 311445 349895 419874 436023 449865 484470 539838 622890 629811 699790 726705 809757 872046 899730 1049685 1259622 1349595 1453410 1619514 1889433 2099370 2180115 2699190 3149055 3778866 4048785 4360230 5668299 6298110 8097570 9447165 11336598 18894330 28341495 56682990