Base | Representation |
---|---|
bin | 1011000111000010… |
… | …1100100111011100 |
3 | 21200211210012121210 |
4 | 2301300230213130 |
5 | 22101434123032 |
6 | 1211533424420 |
7 | 133622261040 |
oct | 26160544734 |
9 | 7624705553 |
10 | 2982332892 |
11 | 12a04a3930 |
12 | 6b293b110 |
13 | 386b39c26 |
14 | 204128020 |
15 | 126c542cc |
hex | b1c2c9dc |
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".
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