| Base | Representation |
|---|---|
| bin | 10110110001001… |
| … | …111110011110100 |
| 3 | 222121211001020100 |
| 4 | 112301033303310 |
| 5 | 1240243233224 |
| 6 | 101523434100 |
| 7 | 12316006410 |
| oct | 2661176364 |
| 9 | 877731210 |
| 10 | 382008564 |
| 11 | 1866a7763 |
| 12 | a7b25930 |
| 13 | 611b2492 |
| 14 | 38a3dd40 |
| 15 | 2380cac9 |
| hex | 16c4fcf4 |
382008564 has 144 divisors (see below), whose sum is σ = 1219615488. Its totient is φ = 98233344.
The previous prime is 382008553. The next prime is 382008569. The reversal of 382008564 is 465800283.
382008564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 (382008569) 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 47 ways as a sum of consecutive naturals, for example, 96594 + ... + 100470.
It is an arithmetic number, because the mean of its divisors is an integer number (8469552).
Almost surely, 2382008564 is an apocalyptic number.
382008564 is a gapful number since it is divisible by the number (34) 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 382008564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609807744).
382008564 is an abundant number, since it is smaller than the sum of its proper divisors (837606924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
382008564 is a wasteful number, since it uses less digits than its factorization.
382008564 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3934 (or 3929 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 382008564 is about 19545.0393706434. The cubic root of 382008564 is about 725.5895729042.
It can be divided in two parts, 38200 and 8564, that added together give a palindrome (46764).
The spelling of 382008564 in words is "three hundred eighty-two million, eight thousand, five hundred sixty-four".
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