Base | Representation |
---|---|
bin | 1001000101100… |
… | …1001101000000 |
3 | 2122201101201210 |
4 | 2101121031000 |
5 | 34224122422 |
6 | 3440530120 |
7 | 641651601 |
oct | 221311500 |
9 | 78641653 |
10 | 38114112 |
11 | 1a572773 |
12 | 10920940 |
13 | 7b8633a |
14 | 50c1da8 |
15 | 352d10c |
hex | 2459340 |
38114112 has 56 divisors (see below), whose sum is σ = 101498400. Its totient is φ = 12622336.
The previous prime is 38114101. The next prime is 38114117. The reversal of 38114112 is 21141183.
It is a happy number.
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38114117) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33814 + ... + 34922.
Almost surely, 238114112 is an apocalyptic number.
38114112 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 38114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50749200).
38114112 is an abundant number, since it is smaller than the sum of its proper divisors (63384288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38114112 is a wasteful number, since it uses less digits than its factorization.
38114112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1303 (or 1293 counting only the distinct ones).
The product of its digits is 192, while the sum is 21.
The square root of 38114112 is about 6173.6627701876. The cubic root of 38114112 is about 336.5337322223.
Adding to 38114112 its reverse (21141183), we get a palindrome (59255295).
It can be divided in two parts, 38114 and 112, that added together give a triangular number (38226 = T276).
The spelling of 38114112 in words is "thirty-eight million, one hundred fourteen thousand, one hundred twelve".
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