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55759220 = 22511223041
BaseRepresentation
bin1101010010110…
…1000101110100
310212220212021022
43110231011310
5103233243340
65311040312
71244642216
oct324550564
9125825238
1055759220
1129524800
1216810098
13b72392a
1475965b6
154d663b5
hex352d174

55759220 has 36 divisors (see below), whose sum is σ = 128712612. Its totient is φ = 20275200.

The previous prime is 55759181. The next prime is 55759229. The reversal of 55759220 is 2295755.

55759220 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 2 ways, for example, as 15335056 + 40424164 = 3916^2 + 6358^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55759229) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9101 + ... + 13940.

Almost surely, 255759220 is an apocalyptic number.

It is an amenable number.

55759220 is an abundant number, since it is smaller than the sum of its proper divisors (72953392).

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

55759220 is a wasteful number, since it uses less digits than its factorization.

55759220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23072 (or 23059 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 55759220 is about 7467.2096528757. The cubic root of 55759220 is about 382.0371207405.

The spelling of 55759220 in words is "fifty-five million, seven hundred fifty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 23041 46082 92164 115205 230410 253451 460820 506902 1013804 1267255 2534510 2787961 5069020 5575922 11151844 13939805 27879610 55759220