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55588260 = 223571310181
BaseRepresentation
bin1101010000001…
…1010110100100
310212121011202110
43110003112210
5103212311020
65303241020
71243330620
oct324032644
9125534673
1055588260
1129418312
1216749170
13b693b80
147550180
154d308e0
hex35035a4

55588260 has 96 divisors (see below), whose sum is σ = 191584512. Its totient is φ = 11727360.

The previous prime is 55588229. The next prime is 55588261. The reversal of 55588260 is 6288555.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (55588261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370 + ... + 10550.

It is an arithmetic number, because the mean of its divisors is an integer number (1995672).

Almost surely, 255588260 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 55588260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95792256).

55588260 is an abundant number, since it is smaller than the sum of its proper divisors (135996252).

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

55588260 is a wasteful number, since it uses less digits than its factorization.

55588260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10213 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 55588260 is about 7455.7534830492. The cubic root of 55588260 is about 381.6462739836.

The spelling of 55588260 in words is "fifty-five million, five hundred eighty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 10181 20362 30543 40724 50905 61086 71267 101810 122172 132353 142534 152715 203620 213801 264706 285068 305430 356335 397059 427602 529412 610860 661765 712670 794118 855204 926471 1069005 1323530 1425340 1588236 1852942 1985295 2138010 2647060 2779413 3705884 3970590 4276020 4632355 5558826 7941180 9264710 11117652 13897065 18529420 27794130 55588260