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794142882 = 2321314922777
BaseRepresentation
bin101111010101011…
…010100010100010
32001100022122020100
4233111122202202
53111300033012
6210445123230
725452050241
oct5725324242
92040278210
10794142882
11378300335
121a1b59516
13c86b1c40
1477682958
1549abb8dc
hex2f55a8a2

794142882 has 48 divisors (see below), whose sum is σ = 1865518200. Its totient is φ = 242701056.

The previous prime is 794142871. The next prime is 794142883. The reversal of 794142882 is 288241497.

794142882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 560695041 + 233447841 = 23679^2 + 15279^2 .

It is not an unprimeable number, because it can be changed into a prime (794142883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23478 + ... + 46254.

Almost surely, 2794142882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 794142882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932759100).

794142882 is an abundant number, since it is smaller than the sum of its proper divisors (1071375318).

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

794142882 is a wasteful number, since it uses less digits than its factorization.

794142882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22947 (or 22944 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 794142882 is about 28180.5408393806. The cubic root of 794142882 is about 926.0466873882.

The spelling of 794142882 in words is "seven hundred ninety-four million, one hundred forty-two thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 894 1341 1937 2682 3874 5811 11622 17433 22777 34866 45554 68331 136662 204993 296101 409986 592202 888303 1776606 2664909 3393773 5329818 6787546 10181319 20362638 30543957 44119049 61087914 88238098 132357147 264714294 397071441 794142882