| Base | Representation |
|---|---|
| bin | 1001000111111… |
| … | …0000111010100 |
| 3 | 2200000002010100 |
| 4 | 2101332013110 |
| 5 | 34243442200 |
| 6 | 3444054100 |
| 7 | 643151433 |
| oct | 221760724 |
| 9 | 80002110 |
| 10 | 38265300 |
| 11 | 1a666317 |
| 12 | 10994330 |
| 13 | 7c0a0b8 |
| 14 | 512111a |
| 15 | 355cd00 |
| hex | 247e1d4 |
38265300 has 216 divisors, whose sum is σ = 132225912. Its totient is φ = 9216000.
The previous prime is 38265287. The next prime is 38265301. The reversal of 38265300 is 356283.
38265300 is a `hidden beast` number, since 3 + 8 + 2 + 653 + 0 + 0 = 666.
38265300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 12 ways, for example, as 26071236 + 12194064 = 5106^2 + 3492^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38265301) 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 71 ways as a sum of consecutive naturals, for example, 627270 + ... + 627330.
It is an arithmetic number, because the mean of its divisors is an integer number (612157).
Almost surely, 238265300 is an apocalyptic number.
38265300 is a gapful number since it is divisible by the number (30) 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 38265300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66112956).
38265300 is an abundant number, since it is smaller than the sum of its proper divisors (93960612).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38265300 is a wasteful number, since it uses less digits than its factorization.
38265300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 139 (or 129 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 38265300 is about 6185.8952464457. The cubic root of 38265300 is about 336.9781234790.
The spelling of 38265300 in words is "thirty-eight million, two hundred sixty-five thousand, three hundred".
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