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45830286 = 235181521
BaseRepresentation
bin1010111011010…
…1000010001110
310012020102100000
42232311002032
543213032121
64314145130
71064356665
oct256650216
9105212300
1045830286
1123962a77
12134221a6
139658518
14612dddc
154054526
hex2bb508e

45830286 has 48 divisors (see below), whose sum is σ = 103744368. Its totient is φ = 15163200.

The previous prime is 45830243. The next prime is 45830293. The reversal of 45830286 is 68203854.

45830286 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 2×458302862 = 4200830229683592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45830286.

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 23 ways as a sum of consecutive naturals, for example, 87706 + ... + 88226.

It is an arithmetic number, because the mean of its divisors is an integer number (2161341).

Almost surely, 245830286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45830286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51872184).

45830286 is an abundant number, since it is smaller than the sum of its proper divisors (57914082).

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

45830286 is a wasteful number, since it uses less digits than its factorization.

45830286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45830286 is about 6769.8069396402. The cubic root of 45830286 is about 357.8635966934.

The spelling of 45830286 in words is "forty-five million, eight hundred thirty thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 243 362 486 521 543 1042 1086 1563 1629 3126 3258 4689 4887 9378 9774 14067 14661 28134 29322 42201 43983 84402 87966 94301 126603 188602 253206 282903 565806 848709 1697418 2546127 5092254 7638381 15276762 22915143 45830286