| Base | Representation |
|---|---|
| bin | 1001001110111… |
| … | …1100011100000 |
| 3 | 2200212200111200 |
| 4 | 2103233203200 |
| 5 | 34403324302 |
| 6 | 3502041200 |
| 7 | 650125212 |
| oct | 223574340 |
| 9 | 80780450 |
| 10 | 38729952 |
| 11 | 1a953428 |
| 12 | 10b79200 |
| 13 | 8040741 |
| 14 | 52025b2 |
| 15 | 360081c |
| hex | 24ef8e0 |
38729952 has 72 divisors (see below), whose sum is σ = 111449520. Its totient is φ = 12756480.
The previous prime is 38729947. The next prime is 38729963. The reversal of 38729952 is 25992783.
38729952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a junction number, because it is equal to n+sod(n) for n = 38729898 and 38729907.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 24877 + ... + 26387.
It is an arithmetic number, because the mean of its divisors is an integer number (1547910).
Almost surely, 238729952 is an apocalyptic number.
38729952 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 38729952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55724760).
38729952 is an abundant number, since it is smaller than the sum of its proper divisors (72719568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38729952 is a wasteful number, since it uses less digits than its factorization.
38729952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1616 (or 1605 counting only the distinct ones).
The product of its digits is 272160, while the sum is 45.
The square root of 38729952 is about 6223.3392965513. The cubic root of 38729952 is about 338.3366043240.
It can be divided in two parts, 3872 and 9952, that added together give a cube (13824 = 243).
The spelling of 38729952 in words is "thirty-eight million, seven hundred twenty-nine thousand, nine hundred fifty-two".
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