Base | Representation |
---|---|
bin | 11110100110111101001100 |
3 | 120002122200220 |
4 | 132212331030 |
5 | 4023231014 |
6 | 443551340 |
7 | 125126151 |
oct | 36467514 |
9 | 16078626 |
10 | 8023884 |
11 | 4590510 |
12 | 282b550 |
13 | 187c27b |
14 | 10cc228 |
15 | a876a9 |
hex | 7a6f4c |
8023884 has 48 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 2400640.
The previous prime is 8023877. The next prime is 8023889. The reversal of 8023884 is 4883208.
8023884 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8023889) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11407 + ... + 12089.
It is an arithmetic number, because the mean of its divisors is an integer number (430920).
Almost surely, 28023884 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8023884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).
8023884 is an abundant number, since it is smaller than the sum of its proper divisors (12660276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8023884 is a wasteful number, since it uses less digits than its factorization.
8023884 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 790 (or 788 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 33.
The square root of 8023884 is about 2832.6461127363. The cubic root of 8023884 is about 200.1988355899.
The spelling of 8023884 in words is "eight million, twenty-three thousand, eight hundred eighty-four".
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