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55838682 = 23219433797
BaseRepresentation
bin1101010100000…
…0011111011010
310220001220021100
43111000133122
5103243314212
65312452230
71245422664
oct325003732
9126056240
1055838682
1129579479
121684a076
13b750b53
1475b7534
154d7ebdc
hex35407da

55838682 has 48 divisors (see below), whose sum is σ = 130347360. Its totient is φ = 17218656.

The previous prime is 55838677. The next prime is 55838711. The reversal of 55838682 is 28683855.

It is a happy number.

55838682 is a `hidden beast` number, since 5 + 583 + 8 + 68 + 2 = 666.

55838682 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 12808 + ... + 16604.

It is an arithmetic number, because the mean of its divisors is an integer number (2715570).

Almost surely, 255838682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55838682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65173680).

55838682 is an abundant number, since it is smaller than the sum of its proper divisors (74508678).

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

55838682 is a wasteful number, since it uses less digits than its factorization.

55838682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3864 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 55838682 is about 7472.5284877343. The cubic root of 55838682 is about 382.2185139067.

The spelling of 55838682 in words is "fifty-five million, eight hundred thirty-eight thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 387 774 817 1634 2451 3797 4902 7353 7594 11391 14706 22782 34173 68346 72143 144286 163271 216429 326542 432858 489813 649287 979626 1298574 1469439 2938878 3102149 6204298 9306447 18612894 27919341 55838682