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987342048 = 25357111797
BaseRepresentation
bin111010110110011…
…010010011100000
32112210212011200000
4322312122103200
54010224421143
6241550100000
733316161150
oct7266322340
92483764600
10987342048
11467368770
122367aa600
13129727884
14951b4760
155ba30bd3
hex3ad9a4e0

987342048 has 576 divisors, whose sum is σ = 3883396608. Its totient is φ = 238878720.

The previous prime is 987342047. The next prime is 987342053. The reversal of 987342048 is 840243789.

987342048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 987341994 and 987342012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987342043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10178736 + ... + 10178832.

It is an arithmetic number, because the mean of its divisors is an integer number (6742008).

Almost surely, 2987342048 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 987342048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941698304).

987342048 is an abundant number, since it is smaller than the sum of its proper divisors (2896054560).

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

987342048 is a wasteful number, since it uses less digits than its factorization.

987342048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 987342048 is about 31421.9994271529. Note that the first 3 decimals coincide. The cubic root of 987342048 is about 995.7627537699.

The spelling of 987342048 in words is "nine hundred eighty-seven million, three hundred forty-two thousand, forty-eight".