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992255616 = 27331143607
BaseRepresentation
bin111011001001001…
…001111010000000
32120011002210211000
4323021021322000
54013004134431
6242243252000
733406014342
oct7311117200
92504083730
10992255616
1146a114370
1223837a000
1312a758201
1495ad3292
155c1a19e6
hex3b249e80

992255616 has 256 divisors, whose sum is σ = 3274444800. Its totient is φ = 293207040.

The previous prime is 992255611. The next prime is 992255617. The reversal of 992255616 is 616552299.

It is a happy number.

992255616 is a `hidden beast` number, since 9 + 9 + 2 + 25 + 5 + 616 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (992255611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1634385 + ... + 1634991.

It is an arithmetic number, because the mean of its divisors is an integer number (12790800).

Almost surely, 2992255616 is an apocalyptic number.

992255616 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 992255616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637222400).

992255616 is an abundant number, since it is smaller than the sum of its proper divisors (2282189184).

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

992255616 is a wasteful number, since it uses less digits than its factorization.

992255616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 666 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 992255616 is about 31500.0891427310. The cubic root of 992255616 is about 997.4118459040.

The spelling of 992255616 in words is "nine hundred ninety-two million, two hundred fifty-five thousand, six hundred sixteen".