Base | Representation |
---|---|
bin | 100011010011… |
… | …111111000000 |
3 | 122102022002000 |
4 | 203103333000 |
5 | 4332210041 |
6 | 530224000 |
7 | 141453015 |
oct | 43237700 |
9 | 18368060 |
10 | 9256896 |
11 | 5252930 |
12 | 3125000 |
13 | 1bc156c |
14 | 132d70c |
15 | c2cbb6 |
hex | 8d3fc0 |
9256896 has 112 divisors (see below), whose sum is σ = 29748480. Its totient is φ = 2799360.
The previous prime is 9256873. The next prime is 9256901. The reversal of 9256896 is 6986529.
9256896 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18765 + ... + 19251.
Almost surely, 29256896 is an apocalyptic number.
9256896 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 9256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874240).
9256896 is an abundant number, since it is smaller than the sum of its proper divisors (20491584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9256896 is a wasteful number, since it uses less digits than its factorization.
9256896 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 519 (or 503 counting only the distinct ones).
The product of its digits is 233280, while the sum is 45.
The square root of 9256896 is about 3042.5147493480. The cubic root of 9256896 is about 209.9689750085.
The spelling of 9256896 in words is "nine million, two hundred fifty-six thousand, eight hundred ninety-six".
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