Base | Representation |
---|---|
bin | 1001010001111… |
… | …1111001010000 |
3 | 2201020202010000 |
4 | 2110133321100 |
5 | 34431143302 |
6 | 3510210000 |
7 | 651611400 |
oct | 224377120 |
9 | 81222100 |
10 | 38927952 |
11 | 1aa79168 |
12 | 11053900 |
13 | 80ac8bb |
14 | 5254800 |
15 | 363e31c |
hex | 251fe50 |
38927952 has 150 divisors (see below), whose sum is σ = 131277498. Its totient is φ = 11104128.
The previous prime is 38927927. The next prime is 38927957. The reversal of 38927952 is 25972983.
38927952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 20575296 + 18352656 = 4536^2 + 4284^2 .
It is a junction number, because it is equal to n+sod(n) for n = 38927898 and 38927907.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38927957) by changing a digit.
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 29 ways as a sum of consecutive naturals, for example, 63198 + ... + 63810.
Almost surely, 238927952 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 38927952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65638749).
38927952 is an abundant number, since it is smaller than the sum of its proper divisors (92349546).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38927952 is a wasteful number, since it uses less digits than its factorization.
38927952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 647 (or 625 counting only the distinct ones).
The product of its digits is 272160, while the sum is 45.
The square root of 38927952 is about 6239.2268751825. The cubic root of 38927952 is about 338.9121865118.
The spelling of 38927952 in words is "thirty-eight million, nine hundred twenty-seven thousand, nine hundred fifty-two".
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