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55582912 = 2671111279
BaseRepresentation
bin1101010000001…
…0000011000000
310212120220102101
43110002003000
5103212123122
65303200144
71243306210
oct324020300
9125526371
1055582912
11294142a0
1216746054
13b6915c8
14754c240
154d2e027
hex35020c0

55582912 has 56 divisors (see below), whose sum is σ = 137525760. Its totient is φ = 21653760.

The previous prime is 55582909. The next prime is 55582931. The reversal of 55582912 is 21928555.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712 + ... + 10567.

Almost surely, 255582912 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 55582912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68762880).

55582912 is an abundant number, since it is smaller than the sum of its proper divisors (81942848).

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

55582912 is a wasteful number, since it uses less digits than its factorization.

55582912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11309 (or 11299 counting only the distinct ones).

The product of its digits is 36000, while the sum is 37.

The square root of 55582912 is about 7455.3948252256. The cubic root of 55582912 is about 381.6340345303.

The spelling of 55582912 in words is "fifty-five million, five hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 11279 22558 45116 78953 90232 124069 157906 180464 248138 315812 360928 496276 631624 721856 868483 992552 1263248 1736966 1985104 2526496 3473932 3970208 5052992 6947864 7940416 13895728 27791456 55582912