| Base | Representation |
|---|---|
| bin | 1110111010011111… |
| … | …10101101000000000 |
| 3 | 202200000100211202100 |
| 4 | 13131033311220000 |
| 5 | 112344230240330 |
| 6 | 3402303150400 |
| 7 | 402263250444 |
| oct | 73517655000 |
| 9 | 22600324670 |
| 10 | 8006883840 |
| 11 | 343974a37a |
| 12 | 16755a5400 |
| 13 | 9a7ab34b7 |
| 14 | 55d57a824 |
| 15 | 31ce0a060 |
| hex | 1dd3f5a00 |
8006883840 has 480 divisors, whose sum is σ = 28955646720. Its totient is φ = 2043445248.
The previous prime is 8006883823. The next prime is 8006883883. The reversal of 8006883840 is 483886008.
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-2 number, since 2×80068838402 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 96468439 + ... + 96468521.
It is an arithmetic number, because the mean of its divisors is an integer number (60324264).
Almost surely, 28006883840 is an apocalyptic number.
8006883840 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 8006883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477823360).
8006883840 is an abundant number, since it is smaller than the sum of its proper divisors (20948762880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8006883840 is a wasteful number, since it uses less digits than its factorization.
8006883840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 244 (or 225 counting only the distinct ones).
The product of its (nonzero) digits is 294912, while the sum is 45.
The square root of 8006883840 is about 89481.1926608044. The cubic root of 8006883840 is about 2000.5734888729.
The spelling of 8006883840 in words is "eight billion, six million, eight hundred eighty-three thousand, eight hundred forty".
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