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989402040 = 2334511172371
BaseRepresentation
bin111010111110010…
…001001110111000
32112221201211110000
4322332101032320
54011241331130
6242102153000
733342531024
oct7276211670
92487654400
10989402040
11468545440
12237422760
13129c993c3
149558d384
155bcdb260
hex3af913b8

989402040 has 640 divisors, whose sum is σ = 4064670720. Its totient is φ = 212889600.

The previous prime is 989402033. The next prime is 989402101. The reversal of 989402040 is 40204989.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 989401986 and 989402004.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 13935205 + ... + 13935275.

It is an arithmetic number, because the mean of its divisors is an integer number (6351048).

Almost surely, 2989402040 is an apocalyptic number.

989402040 is a gapful number since it is divisible by the number (90) 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 989402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032335360).

989402040 is an abundant number, since it is smaller than the sum of its proper divisors (3075268680).

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

989402040 is a wasteful number, since it uses less digits than its factorization.

989402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 989402040 is about 31454.7618016732. The cubic root of 989402040 is about 996.4547930268.

The spelling of 989402040 in words is "nine hundred eighty-nine million, four hundred two thousand, forty".