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9882864 = 243322877
BaseRepresentation
bin100101101100…
…110011110000
3200121002202000
4211230303300
510012222424
6551454000
7150001005
oct45546360
920532660
109882864
115640162
123387300
132080464
1414538ac
15d033c9
hex96ccf0

9882864 has 40 divisors (see below), whose sum is σ = 28368720. Its totient is φ = 3294144.

The previous prime is 9882863. The next prime is 9882871. The reversal of 9882864 is 4682889.

It is a happy number.

9882864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9882863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11007 + ... + 11870.

It is an arithmetic number, because the mean of its divisors is an integer number (709218).

Almost surely, 29882864 is an apocalyptic number.

It is an amenable number.

9882864 is an abundant number, since it is smaller than the sum of its proper divisors (18485856).

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

9882864 is a wasteful number, since it uses less digits than its factorization.

9882864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22894 (or 22882 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 9882864 is about 3143.7022759797. The cubic root of 9882864 is about 214.5989567368.

The spelling of 9882864 in words is "nine million, eight hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 22877 45754 68631 91508 137262 183016 205893 274524 366032 411786 549048 617679 823572 1098096 1235358 1647144 2470716 3294288 4941432 9882864