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987868440 = 233351371991
BaseRepresentation
bin111010111000011…
…010110100011000
32112211211220202000
4322320122310120
54010343242230
6242005241000
733323512626
oct7270326430
92484756660
10987868440
114676981a9
12236a03160
13129880350
14952b0516
155bad6b60
hex3ae1ad18

987868440 has 256 divisors, whose sum is σ = 3599769600. Its totient is φ = 239500800.

The previous prime is 987868433. The next prime is 987868457. The reversal of 987868440 is 44868789.

987868440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996345 + ... + 997335.

It is an arithmetic number, because the mean of its divisors is an integer number (14061600).

Almost surely, 2987868440 is an apocalyptic number.

987868440 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 987868440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

987868440 is an abundant number, since it is smaller than the sum of its proper divisors (2611901160).

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

987868440 is a wasteful number, since it uses less digits than its factorization.

987868440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 987868440 is about 31430.3744807471. The cubic root of 987868440 is about 995.9396828040.

The spelling of 987868440 in words is "nine hundred eighty-seven million, eight hundred sixty-eight thousand, four hundred forty".