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55599984 = 24321123191
BaseRepresentation
bin1101010000011…
…0001101110000
310212121202211200
43110012031300
5103213144414
65303411200
71243410036
oct324061560
9125552750
1055599984
1129426100
1216753b00
13b6992cb
147554556
154d34109
hex3506370

55599984 has 90 divisors (see below), whose sum is σ = 171088008. Its totient is φ = 16843200.

The previous prime is 55599967. The next prime is 55599997. The reversal of 55599984 is 48999555.

55599984 is a `hidden beast` number, since 5 + 559 + 9 + 9 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55599984.

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 17 ways as a sum of consecutive naturals, for example, 15829 + ... + 19019.

Almost surely, 255599984 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 55599984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85544004).

55599984 is an abundant number, since it is smaller than the sum of its proper divisors (115488024).

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

55599984 is a wasteful number, since it uses less digits than its factorization.

55599984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3207 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The square root of 55599984 is about 7456.5396800393. The cubic root of 55599984 is about 381.6731028283.

The spelling of 55599984 in words is "fifty-five million, five hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 3191 4356 5808 6382 8712 9573 12764 17424 19146 25528 28719 35101 38292 51056 57438 70202 76584 105303 114876 140404 153168 210606 229752 280808 315909 386111 421212 459504 561616 631818 772222 842424 1158333 1263636 1544444 1684848 2316666 2527272 3088888 3474999 4633332 5054544 6177776 6949998 9266664 13899996 18533328 27799992 55599984