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9000882 = 234115051
BaseRepresentation
bin100010010101…
…011110110010
3121221021220000
4202111132302
54301012012
6520530430
7136335432
oct42253662
917837800
109000882
115098550
123020a16
131b31b87
1412a42c2
15bcbddc
hex8957b2

9000882 has 40 divisors (see below), whose sum is σ = 22006512. Its totient is φ = 2727000.

The previous prime is 9000877. The next prime is 9000899. The reversal of 9000882 is 2880009.

9000882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 744 + ... + 4307.

Almost surely, 29000882 is an apocalyptic number.

9000882 is an abundant number, since it is smaller than the sum of its proper divisors (13005630).

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

9000882 is a wasteful number, since it uses less digits than its factorization.

9000882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9000882 is about 3000.1469963987. The cubic root of 9000882 is about 208.0151770237.

The spelling of 9000882 in words is "nine million, eight hundred eighty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 5051 10102 15153 30306 45459 55561 90918 111122 136377 166683 272754 333366 409131 500049 818262 1000098 1500147 3000294 4500441 9000882