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989029440 = 2635572379
BaseRepresentation
bin111010111100110…
…110010001000000
32112221000220100000
4322330312101000
54011142420230
6242050200000
733336416520
oct7274662100
92487026300
10989029440
11468310503
12237283000
13129b98929
14954d3680
155bc65b60
hex3af36440

989029440 has 672 divisors, whose sum is σ = 4260372480. Its totient is φ = 213497856.

The previous prime is 989029423. The next prime is 989029453. The reversal of 989029440 is 44920989.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12519321 + ... + 12519399.

It is an arithmetic number, because the mean of its divisors is an integer number (6339840).

Almost surely, 2989029440 is an apocalyptic number.

989029440 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 989029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130186240).

989029440 is an abundant number, since it is smaller than the sum of its proper divisors (3271343040).

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

989029440 is a wasteful number, since it uses less digits than its factorization.

989029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 989029440 is about 31448.8384523181. The cubic root of 989029440 is about 996.3296919869.

The spelling of 989029440 in words is "nine hundred eighty-nine million, twenty-nine thousand, four hundred forty".