Search a number
-
+
2982332892 = 2237118393847
BaseRepresentation
bin1011000111000010…
…1100100111011100
321200211210012121210
42301300230213130
522101434123032
61211533424420
7133622261040
oct26160544734
97624705553
102982332892
1112a04a3930
126b293b110
13386b39c26
14204128020
15126c542cc
hexb1c2c9dc

2982332892 has 96 divisors (see below), whose sum is σ = 8688476160. Its totient is φ = 773507520.

The previous prime is 2982332887. The next prime is 2982332909.

2982332892 is nontrivially palindromic in base 10.

2982332892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 773313 + ... + 777159.

It is an arithmetic number, because the mean of its divisors is an integer number (90504960).

Almost surely, 22982332892 is an apocalyptic number.

2982332892 is a gapful number since it is divisible by the number (22) 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 2982332892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344238080).

2982332892 is an abundant number, since it is smaller than the sum of its proper divisors (5706143268).

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

2982332892 is a wasteful number, since it uses less digits than its factorization.

2982332892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4709 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 2982332892 is about 54610.7397129905. The cubic root of 2982332892 is about 1439.4128412518.

The spelling of 2982332892 in words is "two billion, nine hundred eighty-two million, three hundred thirty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 839 924 1678 2517 3356 3847 5034 5873 7694 9229 10068 11541 11746 15388 17619 18458 23082 23492 26929 27687 35238 36916 42317 46164 53858 55374 64603 70476 80787 84634 107716 110748 126951 129206 161574 169268 193809 253902 258412 296219 323148 387618 507804 592438 775236 888657 1184876 1777314 3227633 3554628 6455266 9682899 12910532 19365798 22593431 35503963 38731596 45186862 67780293 71007926 90373724 106511889 135560586 142015852 213023778 248527741 271121172 426047556 497055482 745583223 994110964 1491166446 2982332892