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55795220 = 22513534049
BaseRepresentation
bin1101010011010…
…1111000010100
310212222200122122
43110311320110
5103240421340
65311515112
71245152165
oct324657024
9125880578
1055795220
1129549858
1216828a98
13b737130
1475a576c
154d71db5
hex3535e14

55795220 has 48 divisors (see below), whose sum is σ = 128595600. Its totient is φ = 20207616.

The previous prime is 55795213. The next prime is 55795237. The reversal of 55795220 is 2259755.

55795220 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 8 ways, for example, as 4443664 + 51351556 = 2108^2 + 7166^2 .

It is a super-2 number, since 2×557952202 = 6226213149696800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 11756 + ... + 15804.

It is an arithmetic number, because the mean of its divisors is an integer number (2679075).

Almost surely, 255795220 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 55795220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64297800).

55795220 is an abundant number, since it is smaller than the sum of its proper divisors (72800380).

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

55795220 is a wasteful number, since it uses less digits than its factorization.

55795220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4122 counting only the distinct ones).

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

The square root of 55795220 is about 7469.6198029083. The cubic root of 55795220 is about 382.1193216605.

The spelling of 55795220 in words is "fifty-five million, seven hundred ninety-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 4049 6890 8098 13780 16196 20245 40490 52637 80980 105274 210548 214597 263185 429194 526370 858388 1052740 1072985 2145970 2789761 4291940 5579522 11159044 13948805 27897610 55795220