Base | Representation |
---|---|
bin | 1111011010011101… |
… | …00110011000101000 |
3 | 210100200212021202020 |
4 | 13231032212120220 |
5 | 113421344312403 |
6 | 3445041504440 |
7 | 412030203030 |
oct | 75516463050 |
9 | 23320767666 |
10 | 8274994728 |
11 | 3567023020 |
12 | 172b342120 |
13 | a1b4c74b0 |
14 | 58700c8c0 |
15 | 33671a453 |
hex | 1ed3a6628 |
8274994728 has 512 divisors, whose sum is σ = 29018787840. Its totient is φ = 1897758720.
The previous prime is 8274994669. The next prime is 8274994729.
8274994728 is nontrivially palindromic in base 10.
It is not an unprimeable number, because it can be changed into a prime (8274994729) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85309176 + ... + 85309272.
It is an arithmetic number, because the mean of its divisors is an integer number (56677320).
Almost surely, 28274994728 is an apocalyptic number.
8274994728 is a gapful number since it is divisible by the number (88) 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 8274994728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509393920).
8274994728 is an abundant number, since it is smaller than the sum of its proper divisors (20743793112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8274994728 is a wasteful number, since it uses less digits than its factorization.
8274994728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 257 (or 253 counting only the distinct ones).
The product of its digits is 16257024, while the sum is 60.
The square root of 8274994728 is about 90966.9980157639. The cubic root of 8274994728 is about 2022.6585528963.
The spelling of 8274994728 in words is "eight billion, two hundred seventy-four million, nine hundred ninety-four thousand, seven hundred twenty-eight".
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