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55789560 = 2334567257
BaseRepresentation
bin1101010011010…
…0011111111000
310212222101220000
43110310133320
5103240231220
65311433000
71245126531
oct324643770
9125871800
1055789560
1129545582
1216825760
13b734698
1475a3688
154d70390
hex35347f8

55789560 has 160 divisors (see below), whose sum is σ = 191054160. Its totient is φ = 14598144.

The previous prime is 55789541. The next prime is 55789571. The reversal of 55789560 is 6598755.

55789560 is a `hidden beast` number, since 5 + 5 + 7 + 89 + 560 = 666.

It is a super-2 number, since 2×557895602 = 6224950009987200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216952 + ... + 217208.

Almost surely, 255789560 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 55789560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95527080).

55789560 is an abundant number, since it is smaller than the sum of its proper divisors (135264600).

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

55789560 is a wasteful number, since it uses less digits than its factorization.

55789560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 55789560 is about 7469.2409252882. The cubic root of 55789560 is about 382.1064001922.

The spelling of 55789560 in words is "fifty-five million, seven hundred eighty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 81 90 108 120 134 135 162 180 201 216 257 268 270 324 335 360 402 405 514 536 540 603 648 670 771 804 810 1005 1028 1080 1206 1285 1340 1542 1608 1620 1809 2010 2056 2313 2412 2570 2680 3015 3084 3240 3618 3855 4020 4626 4824 5140 5427 6030 6168 6939 7236 7710 8040 9045 9252 10280 10854 11565 12060 13878 14472 15420 17219 18090 18504 20817 21708 23130 24120 27135 27756 30840 34438 34695 36180 41634 43416 46260 51657 54270 55512 68876 69390 72360 83268 86095 92520 103314 104085 108540 137752 138780 154971 166536 172190 206628 208170 217080 258285 277560 309942 344380 413256 416340 464913 516570 619884 688760 774855 832680 929826 1033140 1239768 1394739 1549710 1859652 2066280 2324565 2789478 3099420 3719304 4649130 5578956 6198840 6973695 9298260 11157912 13947390 18596520 27894780 55789560