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99000792 = 233411171943
BaseRepresentation
bin1011110011010…
…10000111011000
320220021202120000
411321222013120
5200321011132
613453533000
72311331022
oct571520730
9226252500
1099000792
1150979840
12291a4160
1317683a67
14d211012
158a5887c
hex5e6a1d8

99000792 has 320 divisors, whose sum is σ = 344995200. Its totient is φ = 26127360.

The previous prime is 99000791. The next prime is 99000793. The reversal of 99000792 is 29700099.

It is an interprime number because it is at equal distance from previous prime (99000791) and next prime (99000793).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99000791) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2302323 + ... + 2302365.

It is an arithmetic number, because the mean of its divisors is an integer number (1078110).

Almost surely, 299000792 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 99000792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172497600).

99000792 is an abundant number, since it is smaller than the sum of its proper divisors (245994408).

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

99000792 is a wasteful number, since it uses less digits than its factorization.

99000792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 99000792 is about 9949.9141704841. The cubic root of 99000792 is about 462.6077345323.

It can be divided in two parts, 990007 and 92, that added together give a palindrome (990099).

The spelling of 99000792 in words is "ninety-nine million, seven hundred ninety-two", and thus it is an aban number.