Base | Representation |
---|---|
bin | 1001010011011010110000 |
3 | 11120220110010 |
4 | 21103122300 |
5 | 1111020312 |
6 | 124134520 |
7 | 26505204 |
oct | 11233260 |
9 | 4526403 |
10 | 2438832 |
11 | 1416370 |
12 | 997440 |
13 | 6750c6 |
14 | 476b04 |
15 | 33293c |
hex | 2536b0 |
2438832 has 80 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 710400.
The previous prime is 2438819. The next prime is 2438833. The reversal of 2438832 is 2388342.
It is a nude number because it is divisible by every one of its digits.
It is a d-powerful number, because it can be written as 214 + 4 + 3 + 84 + 86 + 310 + 221 .
It is a nialpdrome in base 12.
It is a self number, because there is not a number n which added to its sum of digits gives 2438832.
It is not an unprimeable number, because it can be changed into a prime (2438833) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16294 + ... + 16442.
It is an arithmetic number, because the mean of its divisors is an integer number (89280).
22438832 is an apocalyptic number.
2438832 is a gapful number since it is divisible by the number (22) 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 2438832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).
2438832 is an abundant number, since it is smaller than the sum of its proper divisors (4703568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2438832 is a wasteful number, since it uses less digits than its factorization.
2438832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 202 (or 196 counting only the distinct ones).
The product of its digits is 9216, while the sum is 30.
The square root of 2438832 is about 1561.6760227397. The cubic root of 2438832 is about 134.6048251602.
It can be divided in two parts, 2 and 438832, that added together give a palindrome (438834).
The spelling of 2438832 in words is "two million, four hundred thirty-eight thousand, eight hundred thirty-two".
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