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987913696 = 257211241127
BaseRepresentation
bin111010111000100…
…101110111100000
32112211221012211011
4322320211313200
54010401214241
6242010230304
733324061600
oct7270456740
92484835734
10987913696
11467719200
12236a25394
13129897b23
14952c2c00
155bae5281
hex3ae25de0

987913696 has 216 divisors, whose sum is σ = 2567593728. Its totient is φ = 372556800.

The previous prime is 987913679. The next prime is 987913697. The reversal of 987913696 is 696319789.

It is a self number, because there is not a number n which added to its sum of digits gives 987913696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987913697) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7778785 + ... + 7778911.

It is an arithmetic number, because the mean of its divisors is an integer number (11887008).

Almost surely, 2987913696 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 987913696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283796864).

987913696 is an abundant number, since it is smaller than the sum of its proper divisors (1579680032).

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

987913696 is a wasteful number, since it uses less digits than its factorization.

987913696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 188 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 58.

The square root of 987913696 is about 31431.0944130172. The cubic root of 987913696 is about 995.9548911577.

The spelling of 987913696 in words is "nine hundred eighty-seven million, nine hundred thirteen thousand, six hundred ninety-six".