| Base | Representation |
|---|---|
| bin | 101111101110111… |
| … | …010010001110000 |
| 3 | 2001210220012102000 |
| 4 | 233232322101300 |
| 5 | 3120002421410 |
| 6 | 211244254000 |
| 7 | 25562625036 |
| oct | 5756722160 |
| 9 | 2053805360 |
| 10 | 800826480 |
| 11 | 381055873 |
| 12 | 1a4241300 |
| 13 | c9bb212c |
| 14 | 78502556 |
| 15 | 4a48bdc0 |
| hex | 2fbba470 |
800826480 has 320 divisors, whose sum is σ = 2961774720. Its totient is φ = 198180864.
The previous prime is 800826479. The next prime is 800826487. The reversal of 800826480 is 84628008.
800826480 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 2 + 648 + 0 = 666.
It is a hoax number, since the sum of its digits (36) 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 (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (800826487) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 4149264 + ... + 4149456.
It is an arithmetic number, because the mean of its divisors is an integer number (9255546).
Almost surely, 2800826480 is an apocalyptic number.
800826480 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 800826480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480887360).
800826480 is an abundant number, since it is smaller than the sum of its proper divisors (2160948240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
800826480 is a wasteful number, since it uses less digits than its factorization.
800826480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 345 (or 333 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The square root of 800826480 is about 28298.8777162629. The cubic root of 800826480 is about 928.6373383929.
The spelling of 800826480 in words is "eight hundred million, eight hundred twenty-six thousand, four hundred eighty".
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