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55675566 = 2333179421
BaseRepresentation
bin1101010001100…
…0101010101110
310212202121112000
43110120222232
5103223104231
65305153130
71244143302
oct324305256
9125677460
1055675566
1129477971
121678b7a6
13b6c482b
147573d02
154d4b6e6
hex3518aae

55675566 has 64 divisors (see below), whose sum is σ = 129638400. Its totient is φ = 17690400.

The previous prime is 55675559. The next prime is 55675591. The reversal of 55675566 is 66557655.

55675566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 132036 + ... + 132456.

It is an arithmetic number, because the mean of its divisors is an integer number (2025600).

Almost surely, 255675566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55675566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64819200).

55675566 is an abundant number, since it is smaller than the sum of its proper divisors (73962834).

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

55675566 is a wasteful number, since it uses less digits than its factorization.

55675566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 536 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The square root of 55675566 is about 7461.6061273696. The cubic root of 55675566 is about 381.8459719105.

The spelling of 55675566 in words is "fifty-five million, six hundred seventy-five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 79 93 158 186 237 279 421 474 558 711 837 842 1263 1422 1674 2133 2449 2526 3789 4266 4898 7347 7578 11367 13051 14694 22041 22734 26102 33259 39153 44082 66123 66518 78306 99777 117459 132246 199554 234918 299331 352377 598662 704754 897993 1031029 1795986 2062058 3093087 6186174 9279261 18558522 27837783 55675566