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809792742 = 231121115417
BaseRepresentation
bin110000010001000…
…111010011100110
32002102202201210210
4300101013103212
53124301331432
6212204400250
726032060533
oct6021072346
92072681723
10809792742
1138611a300
121a7246086
13cba01305
1479797d8a
154b15d8cc
hex304474e6

809792742 has 24 divisors (see below), whose sum is σ = 1780207128. Its totient is φ = 245391520.

The previous prime is 809792741. The next prime is 809792761. The reversal of 809792742 is 247297908.

It is a junction number, because it is equal to n+sod(n) for n = 809792691 and 809792700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809792741) 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 11 ways as a sum of consecutive naturals, for example, 556983 + ... + 558434.

It is an arithmetic number, because the mean of its divisors is an integer number (74175297).

Almost surely, 2809792742 is an apocalyptic number.

809792742 is an abundant number, since it is smaller than the sum of its proper divisors (970414386).

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

809792742 is a wasteful number, since it uses less digits than its factorization.

809792742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115444 (or 1115433 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 809792742 is about 28456.8575566593. The cubic root of 809792742 is about 932.0902389800.

The spelling of 809792742 in words is "eight hundred nine million, seven hundred ninety-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1115417 2230834 3346251 6692502 12269587 24539174 36808761 73617522 134965457 269930914 404896371 809792742