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9686976 = 263133881
BaseRepresentation
bin100100111100…
…111111000000
3200020011000220
4210330333000
54434440401
6543343040
7145223625
oct44747700
920204026
109686976
115516a72
1232b1a80
132012250
14140234c
15cb5336
hex93cfc0

9686976 has 56 divisors (see below), whose sum is σ = 27608784. Its totient is φ = 2979840.

The previous prime is 9686951. The next prime is 9686977. The reversal of 9686976 is 6796869.

It is a happy number.

9686976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9686977) 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, 556 + ... + 4436.

It is an arithmetic number, because the mean of its divisors is an integer number (493014).

Almost surely, 29686976 is an apocalyptic number.

9686976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9686976 is the 1664-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13804392).

9686976 is an abundant number, since it is smaller than the sum of its proper divisors (17921808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9686976 is a wasteful number, since it uses less digits than its factorization.

9686976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3899 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 9686976 is about 3112.3907209732. The cubic root of 9686976 is about 213.1716309360.

The spelling of 9686976 in words is "nine million, six hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 3881 7762 11643 15524 23286 31048 46572 50453 62096 93144 100906 124192 151359 186288 201812 248384 302718 372576 403624 605436 745152 807248 1210872 1614496 2421744 3228992 4843488 9686976