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9288 = 233343
BaseRepresentation
bin10010001001000
3110202000
42101020
5244123
6111000
736036
oct22110
913660
109288
116a84
125460
1342c6
143556
152b43
hex2448

9288 has 32 divisors (see below), whose sum is σ = 26400. Its totient is φ = 3024.

The previous prime is 9283. The next prime is 9293. The reversal of 9288 is 8829.

Subtracting from 9288 its sum of digits (27), we obtain a cube (9261 = 213).

Adding to 9288 its product of digits (1152), we get a triangular number (10440 = T144).

It is an interprime number because it is at equal distance from previous prime (9283) and next prime (9293).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1152) is a multiple of the sum of its prime divisors (48).

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 6 and base 8.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (9281) 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, 195 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (825).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13200).

9288 is an abundant number, since it is smaller than the sum of its proper divisors (17112).

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

9288 is a wasteful number, since it uses less digits than its factorization.

9288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 48 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 9288 is about 96.3742704253. The cubic root of 9288 is about 21.0203883623.

The spelling of 9288 in words is "nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288