Base | Representation |
---|---|
bin | 100100111011… |
… | …111110000000 |
3 | 200012221022211 |
4 | 210323332000 |
5 | 4434322231 |
6 | 543311504 |
7 | 145205533 |
oct | 44737600 |
9 | 20187284 |
10 | 9682816 |
11 | 5513930 |
12 | 32ab594 |
13 | 20103a0 |
14 | 1400a1a |
15 | cb3eb1 |
hex | 93bf80 |
9682816 has 96 divisors (see below), whose sum is σ = 23690520. Its totient is φ = 3886080.
The previous prime is 9682811. The next prime is 9682817. The reversal of 9682816 is 6182869.
9682816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-4 number, since 4×96828164 (a number of 29 digits) contains 4444 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9682811) 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, 420981 + ... + 421003.
Almost surely, 29682816 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 9682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11845260).
9682816 is an abundant number, since it is smaller than the sum of its proper divisors (14007704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9682816 is a wasteful number, since it uses less digits than its factorization.
9682816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 84 (or 49 counting only the distinct ones).
The product of its digits is 41472, while the sum is 40.
The square root of 9682816 is about 3111.7223526529. The cubic root of 9682816 is about 213.1411115748.
The spelling of 9682816 in words is "nine million, six hundred eighty-two thousand, eight hundred sixteen".
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