| Base | Representation |
|---|---|
| bin | 1111010110101110… |
| … | …00000001000000000 |
| 3 | 210021111212110002200 |
| 4 | 13223113000020000 |
| 5 | 113340333033010 |
| 6 | 3442001513200 |
| 7 | 411166544154 |
| oct | 75327001000 |
| 9 | 23244773080 |
| 10 | 8243642880 |
| 11 | 3550359a00 |
| 12 | 1720942800 |
| 13 | a14b6b0c5 |
| 14 | 582bab064 |
| 15 | 333ac5cc0 |
| hex | 1eb5c0200 |
8243642880 has 360 divisors, whose sum is σ = 31392076716. Its totient is φ = 1997783040.
The previous prime is 8243642861. The next prime is 8243642887. The reversal of 8243642880 is 882463428.
8243642880 is a `hidden beast` number, since 8 + 2 + 4 + 364 + 288 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 7775006976 + 468635904 = 88176^2 + 21648^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (8243642887) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2786362 + ... + 2789318.
Almost surely, 28243642880 is an apocalyptic number.
8243642880 is a gapful number since it is divisible by the number (80) 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 8243642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696038358).
8243642880 is an abundant number, since it is smaller than the sum of its proper divisors (23148433836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8243642880 is a wasteful number, since it uses less digits than its factorization.
8243642880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3008 (or 2978 counting only the distinct ones).
The product of its (nonzero) digits is 589824, while the sum is 45.
The square root of 8243642880 is about 90794.5090850763. The cubic root of 8243642880 is about 2020.1008739613.
It can be divided in two parts, 82436 and 42880, that added together give a square (125316 = 3542).
The spelling of 8243642880 in words is "eight billion, two hundred forty-three million, six hundred forty-two thousand, eight hundred eighty".
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