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55663584 = 253579829
BaseRepresentation
bin1101010001010…
…1101111100000
310212202000002020
43110111233200
5103222213314
65305021440
71244063334
oct324255740
9125660066
1055663584
1129469969
1216784880
13b6bc242
14756d7c4
154d47da9
hex3515be0

55663584 has 24 divisors (see below), whose sum is σ = 146117160. Its totient is φ = 18554496.

The previous prime is 55663567. The next prime is 55663591. The reversal of 55663584 is 48536655.

It is a happy number.

55663584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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 3 ways as a sum of consecutive naturals, for example, 289819 + ... + 290010.

It is an arithmetic number, because the mean of its divisors is an integer number (6088215).

Almost surely, 255663584 is an apocalyptic number.

It is an amenable number.

55663584 is an abundant number, since it is smaller than the sum of its proper divisors (90453576).

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

55663584 is a wasteful number, since it uses less digits than its factorization.

55663584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579842 (or 579834 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 55663584 is about 7460.8031739217. The cubic root of 55663584 is about 381.8185774475.

The spelling of 55663584 in words is "fifty-five million, six hundred sixty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 579829 1159658 1739487 2319316 3478974 4638632 6957948 9277264 13915896 18554528 27831792 55663584