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989424072 = 233572131747
BaseRepresentation
bin111010111110010…
…110100111001000
32112221202221200000
4322332112213020
54011243032242
6242102443000
733342652200
oct7276264710
92487687600
10989424072
1146855aa4a
12237433460
13129ca6440
1495597400
155bce2a4c
hex3af969c8

989424072 has 576 divisors, whose sum is σ = 3764517120. Its totient is φ = 240371712.

The previous prime is 989424071. The next prime is 989424083. The reversal of 989424072 is 270424989.

It is a super-2 number, since 2×9894240722 = 1957919988506122368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (989424071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21051553 + ... + 21051599.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2989424072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989424072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882258560).

989424072 is an abundant number, since it is smaller than the sum of its proper divisors (2775093048).

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

989424072 is a wasteful number, since it uses less digits than its factorization.

989424072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 989424072 is about 31455.1120169679. The cubic root of 989424072 is about 996.4621893221.

The spelling of 989424072 in words is "nine hundred eighty-nine million, four hundred twenty-four thousand, seventy-two".