Base | Representation |
---|---|
bin | 1001000101111… |
… | …0101010110100 |
3 | 2122202112102222 |
4 | 2101132222310 |
5 | 34230332000 |
6 | 3441221512 |
7 | 642104063 |
oct | 221365264 |
9 | 78675388 |
10 | 38136500 |
11 | 1a588576 |
12 | 10931898 |
13 | 7b9359c |
14 | 50ca1da |
15 | 3534a85 |
hex | 245eab4 |
38136500 has 48 divisors (see below), whose sum is σ = 84324240. Its totient is φ = 15065600.
The previous prime is 38136499. The next prime is 38136517. The reversal of 38136500 is 563183.
38136500 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 8 ways, for example, as 9278116 + 28858384 = 3046^2 + 5372^2 .
It is a super-3 number, since 3×381365003 (a number of 24 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 38136500.
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 15 ways as a sum of consecutive naturals, for example, 44072 + ... + 44928.
It is an arithmetic number, because the mean of its divisors is an integer number (1756755).
Almost surely, 238136500 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 38136500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42162120).
38136500 is an abundant number, since it is smaller than the sum of its proper divisors (46187740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38136500 is a wasteful number, since it uses less digits than its factorization.
38136500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 965 (or 953 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 26.
The square root of 38136500 is about 6175.4756901797. The cubic root of 38136500 is about 336.5996119545.
Adding to 38136500 its reverse (563183), we get a palindrome (38699683).
The spelling of 38136500 in words is "thirty-eight million, one hundred thirty-six thousand, five hundred".
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