| Base | Representation |
|---|---|
| bin | 110001011111010… |
| … | …000110001111110 |
| 3 | 2010212022112101000 |
| 4 | 301133100301332 |
| 5 | 3200022410112 |
| 6 | 214215431130 |
| 7 | 26401152564 |
| oct | 6137206176 |
| 9 | 2125275330 |
| 10 | 830278782 |
| 11 | 396741813 |
| 12 | 1b20854a6 |
| 13 | 103024a28 |
| 14 | 7c3aba34 |
| 15 | 4cd587dc |
| hex | 317d0c7e |
830278782 has 128 divisors (see below), whose sum is σ = 1974067200. Its totient is φ = 258336000.
The previous prime is 830278781. The next prime is 830278783. The reversal of 830278782 is 287872038.
It is an interprime number because it is at equal distance from previous prime (830278781) and next prime (830278783).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (830278781) 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, 8220532 + ... + 8220632.
It is an arithmetic number, because the mean of its divisors is an integer number (15422400).
Almost surely, 2830278782 is an apocalyptic number.
830278782 is a gapful number since it is divisible by the number (82) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 830278782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987033600).
830278782 is an abundant number, since it is smaller than the sum of its proper divisors (1143788418).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
830278782 is a wasteful number, since it uses less digits than its factorization.
830278782 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 279 (or 273 counting only the distinct ones).
The product of its (nonzero) digits is 301056, while the sum is 45.
The square root of 830278782 is about 28814.5585078099. The cubic root of 830278782 is about 939.8848440493.
It can be divided in two parts, 83027 and 8782, that added together give a square (91809 = 3032).
The spelling of 830278782 in words is "eight hundred thirty million, two hundred seventy-eight thousand, seven hundred eighty-two".
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