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989919840 = 2535713131173
BaseRepresentation
bin111011000000001…
…111101001100000
32112222201010201210
4323000033221200
54011404413330
6242121230120
733350115450
oct7300175140
92488633653
10989919840
11468869478
12237632340
1312a11acb0
1495685d60
155bd8e8b0
hex3b00fa60

989919840 has 384 divisors, whose sum is σ = 3889492992. Its totient is φ = 206069760.

The previous prime is 989919803. The next prime is 989919851. The reversal of 989919840 is 48919989.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5721994 + ... + 5722166.

It is an arithmetic number, because the mean of its divisors is an integer number (10128888).

Almost surely, 2989919840 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 989919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944746496).

989919840 is an abundant number, since it is smaller than the sum of its proper divisors (2899573152).

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

989919840 is a wasteful number, since it uses less digits than its factorization.

989919840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 57.

The square root of 989919840 is about 31462.9915932989. The cubic root of 989919840 is about 996.6285930555.

The spelling of 989919840 in words is "nine hundred eighty-nine million, nine hundred nineteen thousand, eight hundred forty".