Base | Representation |
---|---|
bin | 11111000001011011101000 |
3 | 120022011110100 |
4 | 133001123220 |
5 | 4040213303 |
6 | 450145400 |
7 | 126060261 |
oct | 37013350 |
9 | 16264410 |
10 | 8132328 |
11 | 4654a36 |
12 | 2882260 |
13 | 18b9739 |
14 | 1119968 |
15 | aa98a3 |
hex | 7c16e8 |
8132328 has 48 divisors (see below), whose sum is σ = 22183200. Its totient is φ = 2691360.
The previous prime is 8132291. The next prime is 8132329. The reversal of 8132328 is 8232318.
8132328 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 2×81323282 = 132269517399168, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (8132329) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12573 + ... + 13203.
It is an arithmetic number, because the mean of its divisors is an integer number (462150).
Almost surely, 28132328 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 8132328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091600).
8132328 is an abundant number, since it is smaller than the sum of its proper divisors (14050872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8132328 is a wasteful number, since it uses less digits than its factorization.
8132328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 822 (or 815 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 8132328 is about 2851.7236892799. The cubic root of 8132328 is about 201.0967084933.
The spelling of 8132328 in words is "eight million, one hundred thirty-two thousand, three hundred twenty-eight".
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