Base | Representation |
---|---|
bin | 1001001010011… |
… | …1000111100000 |
3 | 2200022121111122 |
4 | 2102213013200 |
5 | 34314330443 |
6 | 3451431412 |
7 | 644451200 |
oct | 222470740 |
9 | 80277448 |
10 | 38433248 |
11 | 1a770517 |
12 | 10a55568 |
13 | 7c68689 |
14 | 5166400 |
15 | 3592968 |
hex | 24a71e0 |
38433248 has 72 divisors (see below), whose sum is σ = 89171712. Its totient is φ = 16257024.
The previous prime is 38433247. The next prime is 38433251. The reversal of 38433248 is 84233483.
It is a super-2 number, since 2×384332482 = 2954229103659008, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38433247) 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 11 ways as a sum of consecutive naturals, for example, 199040 + ... + 199232.
It is an arithmetic number, because the mean of its divisors is an integer number (1238496).
Almost surely, 238433248 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 38433248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44585856).
38433248 is an abundant number, since it is smaller than the sum of its proper divisors (50738464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38433248 is a wasteful number, since it uses less digits than its factorization.
38433248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 344 (or 329 counting only the distinct ones).
The product of its digits is 55296, while the sum is 35.
The square root of 38433248 is about 6199.4554599578. The cubic root of 38433248 is about 337.4704076477.
The spelling of 38433248 in words is "thirty-eight million, four hundred thirty-three thousand, two hundred forty-eight".
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