| Base | Representation |
|---|---|
| bin | 1001110100010… |
| … | …10010010000000 |
| 3 | 12201222002021100 |
| 4 | 10322022102000 |
| 5 | 132040332303 |
| 6 | 12101054400 |
| 7 | 2020002666 |
| oct | 472122200 |
| 9 | 181862240 |
| 10 | 82355328 |
| 11 | 4253a860 |
| 12 | 236b7400 |
| 13 | 140a6483 |
| 14 | ad1ac36 |
| 15 | 736b8a3 |
| hex | 4e8a480 |
82355328 has 192 divisors, whose sum is σ = 265093920. Its totient is φ = 24330240.
The previous prime is 82355321. The next prime is 82355333.
82355328 is a `hidden beast` number, since 82 + 3 + 553 + 28 = 666.
82355328 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (192).
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).
Its product of digits (57600) is a multiple of the sum of its prime divisors (180).
It is a junction number, because it is equal to n+sod(n) for n = 82355292 and 82355301.
It is not an unprimeable number, because it can be changed into a prime (82355321) 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, 848976 + ... + 849072.
Almost surely, 282355328 is an apocalyptic number.
82355328 is a gapful number since it is divisible by the number (88) 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 82355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132546960).
82355328 is an abundant number, since it is smaller than the sum of its proper divisors (182738592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82355328 is a wasteful number, since it uses less digits than its factorization.
82355328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 195 (or 180 counting only the distinct ones).
The product of its digits is 57600, while the sum is 36.
The square root of 82355328 is about 9074.9836363489. The cubic root of 82355328 is about 435.0747711343.
The spelling of 82355328 in words is "eighty-two million, three hundred fifty-five thousand, three hundred twenty-eight".
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