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56331990 = 233511131459
BaseRepresentation
bin1101011011100…
…0111011010110
310220222221222000
43112320323112
5103410110430
65331220130
71252546131
oct326707326
9126887860
1056331990
1129886070
1216a47646
13b894550
1476a5218
154e2ae60
hex35b8ed6

56331990 has 128 divisors (see below), whose sum is σ = 176601600. Its totient is φ = 12597120.

The previous prime is 56331973. The next prime is 56331997. The reversal of 56331990 is 9913365.

56331990 is a `hidden beast` number, since 5 + 633 + 19 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56331997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37881 + ... + 39339.

It is an arithmetic number, because the mean of its divisors is an integer number (1379700).

Almost surely, 256331990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56331990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

56331990 is an abundant number, since it is smaller than the sum of its proper divisors (120269610).

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

56331990 is a wasteful number, since it uses less digits than its factorization.

56331990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 56331990 is about 7505.4640096399. The cubic root of 56331990 is about 383.3407879248.

The spelling of 56331990 in words is "fifty-six million, three hundred thirty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 351 390 429 495 585 594 702 715 858 990 1170 1287 1430 1459 1485 1755 2145 2574 2918 2970 3510 3861 4290 4377 6435 7295 7722 8754 12870 13131 14590 16049 18967 19305 21885 26262 32098 37934 38610 39393 43770 48147 56901 65655 78786 80245 94835 96294 113802 131310 144441 160490 170703 189670 196965 208637 240735 284505 288882 341406 393930 417274 433323 481470 512109 569010 625911 722205 853515 866646 1024218 1043185 1251822 1444410 1707030 1877733 2086370 2166615 2560545 3129555 3755466 4333230 5121090 5633199 6259110 9388665 11266398 18777330 28165995 56331990