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987685056 = 26331967449
BaseRepresentation
bin111010110111101…
…110000011000000
32112211111121012000
4322313232003000
54010321410211
6242001304000
733322120161
oct7267560300
92484447160
10987685056
11467582446
12236935000
13129817a37
1495263768
155ba9c656
hex3adee0c0

987685056 has 224 divisors, whose sum is σ = 3108960000. Its totient is φ = 306561024.

The previous prime is 987685043. The next prime is 987685073. The reversal of 987685056 is 650586789.

987685056 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 junction number, because it is equal to n+sod(n) for n = 987684993 and 987685011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2199520 + ... + 2199968.

Almost surely, 2987685056 is an apocalyptic number.

987685056 is a gapful number since it is divisible by the number (96) 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 987685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554480000).

987685056 is an abundant number, since it is smaller than the sum of its proper divisors (2121274944).

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

987685056 is a wasteful number, since it uses less digits than its factorization.

987685056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 987685056 is about 31427.4570399834. The cubic root of 987685056 is about 995.8780515523.

The spelling of 987685056 in words is "nine hundred eighty-seven million, six hundred eighty-five thousand, fifty-six".