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55365876 = 22332331719
BaseRepresentation
bin1101001100110…
…1000011110100
310212011212201000
43103031003310
5103133202001
65254403300
71241413356
oct323150364
9125155630
1055365876
1129286225
1216660530
13b616897
1474d30d6
154cd9a86
hex34cd0f4

55365876 has 96 divisors (see below), whose sum is σ = 154828800. Its totient is φ = 17059680.

The previous prime is 55365851. The next prime is 55365883. The reversal of 55365876 is 67856355.

55365876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 76645 + ... + 77363.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 255365876 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 55365876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

55365876 is an abundant number, since it is smaller than the sum of its proper divisors (99462924).

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

55365876 is a wasteful number, since it uses less digits than its factorization.

55365876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 55365876 is about 7440.8249542641. The cubic root of 55365876 is about 381.1366612484.

The spelling of 55365876 in words is "fifty-five million, three hundred sixty-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 92 93 108 124 138 186 207 276 279 372 414 558 621 713 719 828 837 1116 1242 1426 1438 1674 2139 2157 2484 2852 2876 3348 4278 4314 6417 6471 8556 8628 12834 12942 16537 19251 19413 22289 25668 25884 33074 38502 38826 44578 49611 66148 66867 77004 77652 89156 99222 133734 148833 198444 200601 267468 297666 401202 446499 512647 595332 601803 802404 892998 1025294 1203606 1537941 1785996 2050588 2407212 3075882 4613823 6151764 9227646 13841469 18455292 27682938 55365876