| Base | Representation |
|---|---|
| bin | 10110110000101… |
| … | …001101110100000 |
| 3 | 222121112010021000 |
| 4 | 112300221232200 |
| 5 | 1240223240301 |
| 6 | 101520232000 |
| 7 | 12314456550 |
| oct | 2660515640 |
| 9 | 877463230 |
| 10 | 381852576 |
| 11 | 186600546 |
| 12 | a7a6b600 |
| 13 | 61159491 |
| 14 | 389dd160 |
| 15 | 237cb786 |
| hex | 16c29ba0 |
381852576 has 192 divisors, whose sum is σ = 1340236800. Its totient is φ = 103327488.
The previous prime is 381852553. The next prime is 381852577. The reversal of 381852576 is 675258183.
381852576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×3818525763 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (381852577) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113251 + ... + 116573.
It is an arithmetic number, because the mean of its divisors is an integer number (6980400).
Almost surely, 2381852576 is an apocalyptic number.
381852576 is a gapful number since it is divisible by the number (36) 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 381852576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670118400).
381852576 is an abundant number, since it is smaller than the sum of its proper divisors (958384224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
381852576 is a wasteful number, since it uses less digits than its factorization.
381852576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3368 (or 3354 counting only the distinct ones).
The product of its digits is 403200, while the sum is 45.
The square root of 381852576 is about 19541.0484877347. The cubic root of 381852576 is about 725.4907979149.
The spelling of 381852576 in words is "three hundred eighty-one million, eight hundred fifty-two thousand, five hundred seventy-six".
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