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55689816 = 23371343593
BaseRepresentation
bin1101010001110…
…0001001011000
310212210100001210
43110130021120
5103224033231
65305343120
71244232660
oct324341130
9125710053
1055689816
1129487646
1216797aa0
13b6cb170
1475791a0
154d50a46
hex351c258

55689816 has 128 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 14321664.

The previous prime is 55689791. The next prime is 55689827. The reversal of 55689816 is 61898655.

It is a super-2 number, since 2×556898162 = 6202711212227712, 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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93616 + ... + 94208.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 255689816 is an apocalyptic number.

55689816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55689816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

55689816 is an abundant number, since it is smaller than the sum of its proper divisors (119944104).

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

55689816 is a wasteful number, since it uses less digits than its factorization.

55689816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The square root of 55689816 is about 7462.5609545249. The cubic root of 55689816 is about 381.8785465887.

The spelling of 55689816 in words is "fifty-five million, six hundred eighty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 43 52 56 78 84 86 91 104 129 156 168 172 182 258 273 301 312 344 364 516 546 559 593 602 728 903 1032 1092 1118 1186 1204 1677 1779 1806 2184 2236 2372 2408 3354 3558 3612 3913 4151 4472 4744 6708 7116 7224 7709 7826 8302 11739 12453 13416 14232 15418 15652 16604 23127 23478 24906 25499 30836 31304 33208 46254 46956 49812 50998 53963 61672 76497 92508 93912 99624 101996 107926 152994 161889 178493 185016 203992 215852 305988 323778 331487 356986 431704 535479 611976 647556 662974 713972 994461 1070958 1295112 1325948 1427944 1988922 2141916 2320409 2651896 3977844 4283832 4640818 6961227 7955688 9281636 13922454 18563272 27844908 55689816