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989829126 = 2331121343271
BaseRepresentation
bin111010111111111…
…001100000000110
32112222112112022000
4322333321200012
54011344013001
6242115250130
733346260126
oct7277714006
92488475260
10989829126
11468807300
122375a9946
1312a0b8910
1495660c86
155bd72a86
hex3aff9806

989829126 has 192 divisors, whose sum is σ = 2674129920. Its totient is φ = 269438400.

The previous prime is 989829103. The next prime is 989829133. The reversal of 989829126 is 621928989.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 3652371 + ... + 3652641.

It is an arithmetic number, because the mean of its divisors is an integer number (13927760).

Almost surely, 2989829126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989829126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337064960).

989829126 is an abundant number, since it is smaller than the sum of its proper divisors (1684300794).

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

989829126 is a wasteful number, since it uses less digits than its factorization.

989829126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 989829126 is about 31461.5499618185. The cubic root of 989829126 is about 996.5981492005.

The spelling of 989829126 in words is "nine hundred eighty-nine million, eight hundred twenty-nine thousand, one hundred twenty-six".