Base | Representation |
---|---|
bin | 11110100110110111000000 |
3 | 120002122011020 |
4 | 132212313000 |
5 | 4023222423 |
6 | 443545440 |
7 | 125125044 |
oct | 36466700 |
9 | 16078136 |
10 | 8023488 |
11 | 4590190 |
12 | 282b280 |
13 | 187c035 |
14 | 10cc024 |
15 | a874e3 |
hex | 7a6dc0 |
8023488 has 112 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 2329600.
The previous prime is 8023471. The next prime is 8023493. The reversal of 8023488 is 8843208.
8023488 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×80234882 = 128752719372288, which contains 22 as substring.
It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61183 + ... + 61313.
Almost surely, 28023488 is an apocalyptic number.
8023488 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 8023488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080).
8023488 is an abundant number, since it is smaller than the sum of its proper divisors (16116672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8023488 is a wasteful number, since it uses less digits than its factorization.
8023488 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 186 (or 176 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 33.
The square root of 8023488 is about 2832.5762125669. The cubic root of 8023488 is about 200.1955420875.
The spelling of 8023488 in words is "eight million, twenty-three thousand, four hundred eighty-eight".
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