Base | Representation |
---|---|
bin | 100010010110… |
… | …111101000000 |
3 | 121221121011100 |
4 | 202112331000 |
5 | 4301210122 |
6 | 521014400 |
7 | 136362135 |
oct | 42267500 |
9 | 17847140 |
10 | 9006912 |
11 | 50a2032 |
12 | 3024400 |
13 | 1b34845 |
14 | 12a658c |
15 | bcdaac |
hex | 896f40 |
9006912 has 84 divisors (see below), whose sum is σ = 27208480. Its totient is φ = 2840832.
The previous prime is 9006883. The next prime is 9006919. The reversal of 9006912 is 2196009.
It is a happy number.
It is a super-2 number, since 2×90069122 = 162248927551488, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9006919) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10533 + ... + 11355.
Almost surely, 29006912 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 9006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604240).
9006912 is an abundant number, since it is smaller than the sum of its proper divisors (18201568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9006912 is a wasteful number, since it uses less digits than its factorization.
9006912 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 860 (or 847 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 27.
The square root of 9006912 is about 3001.1517789009. The cubic root of 9006912 is about 208.0616188248.
The spelling of 9006912 in words is "nine million, six thousand, nine hundred twelve".
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