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9296 = 24783
BaseRepresentation
bin10010001010000
3110202022
42101100
5244141
6111012
736050
oct22120
913668
109296
116a91
125468
134301
143560
152b4b
hex2450

9296 has 20 divisors (see below), whose sum is σ = 20832. Its totient is φ = 3936.

The previous prime is 9293. The next prime is 9311. The reversal of 9296 is 6929.

9296 = T48 + T49 + ... + T54.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9293) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71 + ... + 153.

29296 is an apocalyptic number.

9296 is the 56-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416).

9296 is an abundant number, since it is smaller than the sum of its proper divisors (11536).

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

9296 is a wasteful number, since it uses less digits than its factorization.

9296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 9296 is about 96.4157663456. The cubic root of 9296 is about 21.0264217692.

The spelling of 9296 in words is "nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1162 1328 2324 4648 9296