| Base | Representation |
|---|---|
| bin | 1001110111111… |
| … | …01010110010000 |
| 3 | 12202212000210100 |
| 4 | 10323331112100 |
| 5 | 132200423030 |
| 6 | 12115132400 |
| 7 | 2024005041 |
| oct | 473752620 |
| 9 | 182760710 |
| 10 | 82826640 |
| 11 | 42831976 |
| 12 | 238a4100 |
| 13 | 1420cb60 |
| 14 | b0008c8 |
| 15 | 7411360 |
| hex | 4efd590 |
82826640 has 120 divisors (see below), whose sum is σ = 299590200. Its totient is φ = 20385792.
The previous prime is 82826629. The next prime is 82826641. The reversal of 82826640 is 4662828.
82826640 is a `hidden beast` number, since 8 + 2 + 8 + 2 + 6 + 640 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 78004224 = 2196^2 + 8832^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 82826595 and 82826604.
It is not an unprimeable number, because it can be changed into a prime (82826641) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4936 + ... + 13784.
It is an arithmetic number, because the mean of its divisors is an integer number (2496585).
Almost surely, 282826640 is an apocalyptic number.
82826640 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 82826640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149795100).
82826640 is an abundant number, since it is smaller than the sum of its proper divisors (216763560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82826640 is a wasteful number, since it uses less digits than its factorization.
82826640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8881 (or 8872 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 82826640 is about 9100.9142397893. The cubic root of 82826640 is about 435.9031572360.
The spelling of 82826640 in words is "eighty-two million, eight hundred twenty-six thousand, six hundred forty".
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