Base | Representation |
---|---|
bin | 100011010011… |
… | …110000000000 |
3 | 122102020202110 |
4 | 203103300000 |
5 | 4332142221 |
6 | 530215320 |
7 | 141450144 |
oct | 43236000 |
9 | 18366673 |
10 | 9255936 |
11 | 5252138 |
12 | 3124540 |
13 | 1bc0cb1 |
14 | 132d224 |
15 | c2c776 |
hex | 8d3c00 |
9255936 has 88 divisors (see below), whose sum is σ = 25939584. Its totient is φ = 2928640.
The previous prime is 9255931. The next prime is 9255941. The reversal of 9255936 is 6395529.
9255936 is nontrivially palindromic in base 13.
It is an interprime number because it is at equal distance from previous prime (9255931) and next prime (9255941).
It is a junction number, because it is equal to n+sod(n) for n = 9255894 and 9255903.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9255931) 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, 70591 + ... + 70721.
It is an arithmetic number, because the mean of its divisors is an integer number (294768).
Almost surely, 29255936 is an apocalyptic number.
9255936 is a gapful number since it is divisible by the number (96) 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 9255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12969792).
9255936 is an abundant number, since it is smaller than the sum of its proper divisors (16683648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9255936 is a wasteful number, since it uses less digits than its factorization.
9255936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 177 (or 159 counting only the distinct ones).
The product of its digits is 72900, while the sum is 39.
The square root of 9255936 is about 3042.3569810264. The cubic root of 9255936 is about 209.9617163772.
The spelling of 9255936 in words is "nine million, two hundred fifty-five thousand, nine hundred thirty-six".
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