| Base | Representation |
|---|---|
| bin | 1001010010101… |
| … | …0111110000000 |
| 3 | 2201100001100000 |
| 4 | 2110222332000 |
| 5 | 34434121222 |
| 6 | 3511200000 |
| 7 | 652160550 |
| oct | 224527600 |
| 9 | 81301300 |
| 10 | 38973312 |
| 11 | 1aaaa254 |
| 12 | 11076000 |
| 13 | 80c7441 |
| 14 | 5267160 |
| 15 | 364c9ac |
| hex | 252af80 |
38973312 has 192 divisors, whose sum is σ = 133660800. Its totient is φ = 11073024.
The previous prime is 38973287. The next prime is 38973317. The reversal of 38973312 is 21337983.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38973317) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217639 + ... + 217817.
It is an arithmetic number, because the mean of its divisors is an integer number (696150).
Almost surely, 238973312 is an apocalyptic number.
38973312 is a gapful number since it is divisible by the number (32) 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 38973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).
38973312 is an abundant number, since it is smaller than the sum of its proper divisors (94687488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38973312 is an equidigital number, since it uses as much as digits as its factorization.
38973312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 215 (or 191 counting only the distinct ones).
The product of its digits is 27216, while the sum is 36.
The square root of 38973312 is about 6242.8608826403. The cubic root of 38973312 is about 339.0437722474.
The spelling of 38973312 in words is "thirty-eight million, nine hundred seventy-three thousand, three hundred twelve".
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