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55558260 = 223252571201
BaseRepresentation
bin1101001111110…
…0000001110100
310212112122121100
43103330001310
5103210331020
65302450100
71243144302
oct323740164
9125478540
1055558260
11293a781a
1216733930
13b683314
147543272
154d26a90
hex34fc074

55558260 has 72 divisors (see below), whose sum is σ = 169323336. Its totient is φ = 14745600.

The previous prime is 55558259. The next prime is 55558273. The reversal of 55558260 is 6285555.

55558260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4235364 + 51322896 = 2058^2 + 7164^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45660 + ... + 46860.

It is an arithmetic number, because the mean of its divisors is an integer number (2351713).

Almost surely, 255558260 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 55558260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84661668).

55558260 is an abundant number, since it is smaller than the sum of its proper divisors (113765076).

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

55558260 is a wasteful number, since it uses less digits than its factorization.

55558260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 55558260 is about 7453.7413424401. The cubic root of 55558260 is about 381.5776057161.

The spelling of 55558260 in words is "fifty-five million, five hundred fifty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 514 771 1028 1201 1285 1542 2313 2402 2570 3084 3603 3855 4626 4804 5140 6005 7206 7710 9252 10809 11565 12010 14412 15420 18015 21618 23130 24020 36030 43236 46260 54045 72060 108090 216180 308657 617314 925971 1234628 1543285 1851942 2777913 3086570 3703884 4629855 5555826 6173140 9259710 11111652 13889565 18519420 27779130 55558260