Search a number
-
+
987055776 = 253271973353
BaseRepresentation
bin111010110101010…
…100011010100000
32112210022121222100
4322311110122200
54010141241101
6241540010400
733313556430
oct7265243240
92483277870
10987055776
11467192683
12236690a00
13129657495
149513c2c0
155b9c5e86
hex3ad546a0

987055776 has 288 divisors, whose sum is σ = 3432723840. Its totient is φ = 262766592.

The previous prime is 987055739. The next prime is 987055793. The reversal of 987055776 is 677550789.

987055776 is a `hidden beast` number, since 9 + 87 + 0 + 557 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2796016 + ... + 2796368.

It is an arithmetic number, because the mean of its divisors is an integer number (11919180).

Almost surely, 2987055776 is an apocalyptic number.

987055776 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 987055776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716361920).

987055776 is an abundant number, since it is smaller than the sum of its proper divisors (2445668064).

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

987055776 is a wasteful number, since it uses less digits than its factorization.

987055776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The square root of 987055776 is about 31417.4438170899. The cubic root of 987055776 is about 995.6665066283. Note that the first 3 decimals are identical.

The spelling of 987055776 in words is "nine hundred eighty-seven million, fifty-five thousand, seven hundred seventy-six".