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54955566 = 2323119817
BaseRepresentation
bin1101000110100…
…0111000101110
310211102000212100
43101220320232
5103032034231
65241515530
71235054211
oct321507056
9124360770
1054955566
1129025a26
12164a2ba6
13b501bb3
147427778
154c581e6
hex3468e2e

54955566 has 24 divisors (see below), whose sum is σ = 119465424. Its totient is φ = 18257760.

The previous prime is 54955561. The next prime is 54955597. The reversal of 54955566 is 66555945.

54955566 is a `hidden beast` number, since 5 + 4 + 95 + 556 + 6 = 666.

54955566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×549555662 = 6040228468760712, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54955561) 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, 690 + ... + 10506.

It is an arithmetic number, because the mean of its divisors is an integer number (4977726).

Almost surely, 254955566 is an apocalyptic number.

54955566 is an abundant number, since it is smaller than the sum of its proper divisors (64509858).

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

54955566 is a wasteful number, since it uses less digits than its factorization.

54955566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10136 (or 10133 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The square root of 54955566 is about 7413.2021421245. The cubic root of 54955566 is about 380.1928061271.

The spelling of 54955566 in words is "fifty-four million, nine hundred fifty-five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 311 622 933 1866 2799 5598 9817 19634 29451 58902 88353 176706 3053087 6106174 9159261 18318522 27477783 54955566