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790000992 = 253311101823
BaseRepresentation
bin101111000101100…
…111010101100000
32001001112012122000
4233011213111200
53104220012432
6210220244000
725401616614
oct5705472540
92031465560
10790000992
11375a31490
121a06a0600
13c7891911
1476cc5344
154954e57c
hex2f167560

790000992 has 192 divisors, whose sum is σ = 2541611520. Its totient is φ = 236736000.

The previous prime is 790000979. The next prime is 790001011. The reversal of 790000992 is 299000097.

790000992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 959493 + ... + 960315.

It is an arithmetic number, because the mean of its divisors is an integer number (13237560).

Almost surely, 2790000992 is an apocalyptic number.

790000992 is a gapful number since it is divisible by the number (72) 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 790000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270805760).

790000992 is an abundant number, since it is smaller than the sum of its proper divisors (1751610528).

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

790000992 is a wasteful number, since it uses less digits than its factorization.

790000992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 940 counting only the distinct ones).

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

The square root of 790000992 is about 28106.9562919929. The cubic root of 790000992 is about 924.4339334734.

The spelling of 790000992 in words is "seven hundred ninety million, nine hundred ninety-two", and thus it is an aban number.