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989731008 = 26337211689
BaseRepresentation
bin111010111111100…
…001100011000000
32112222100112201000
4322333201203000
54011332343013
6242113212000
733345401100
oct7277414300
92488315630
10989731008
1146874a612
12237561000
1312a083066
1495637200
155bd53973
hex3afe18c0

989731008 has 168 divisors, whose sum is σ = 3384956400. Its totient is φ = 282756096.

The previous prime is 989731003. The next prime is 989731027. The reversal of 989731008 is 800137989.

989731008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (989731003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78828 + ... + 90516.

It is an arithmetic number, because the mean of its divisors is an integer number (20148550).

Almost surely, 2989731008 is an apocalyptic number.

989731008 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989731008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692478200).

989731008 is an abundant number, since it is smaller than the sum of its proper divisors (2395225392).

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

989731008 is a wasteful number, since it uses less digits than its factorization.

989731008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11724 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 989731008 is about 31459.9905912255. The cubic root of 989731008 is about 996.5652184499.

The spelling of 989731008 in words is "nine hundred eighty-nine million, seven hundred thirty-one thousand, eight".