Base | Representation |
---|---|
bin | 1001000100011… |
… | …1010100000000 |
3 | 2122120200012201 |
4 | 2101013110000 |
5 | 34214301312 |
6 | 3435202544 |
7 | 641225134 |
oct | 221072400 |
9 | 78520181 |
10 | 38040832 |
11 | 1a522705 |
12 | 108a6454 |
13 | 7b5bb8b |
14 | 50a33c4 |
15 | 3516557 |
hex | 2447500 |
38040832 has 36 divisors (see below), whose sum is σ = 80408916. Its totient is φ = 17899520.
The previous prime is 38040829. The next prime is 38040833. The reversal of 38040832 is 23804083.
It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 19927296 = 4256^2 + 4464^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 38040832.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38040833) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19 + ... + 8722.
It is an arithmetic number, because the mean of its divisors is an integer number (2233581).
Almost surely, 238040832 is an apocalyptic number.
38040832 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 38040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40204458).
38040832 is an abundant number, since it is smaller than the sum of its proper divisors (42368084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38040832 is an equidigital number, since it uses as much as digits as its factorization.
38040832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8774 (or 8760 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 28.
The square root of 38040832 is about 6167.7250262962. The cubic root of 38040832 is about 336.3179152766.
The spelling of 38040832 in words is "thirty-eight million, forty thousand, eight hundred thirty-two".
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