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BaseRepresentation
bin10010000100000
3110200112
42100200
5243443
6110452
735651
oct22040
913615
109248
116a48
125428
134295
143528
152b18
hex2420

9248 has 18 divisors (see below), whose sum is σ = 19341. Its totient is φ = 4352.

The previous prime is 9241. The next prime is 9257. The reversal of 9248 is 8429.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 784 = 92^2 + 28^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=68.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9248.

It is not an unprimeable number, because it can be changed into a prime (9241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 536 + ... + 552.

29248 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 9248

9248 is an abundant number, since it is smaller than the sum of its proper divisors (10093).

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

9248 is a wasteful number, since it uses less digits than its factorization.

9248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 19 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 9248 is about 96.1665222414. The cubic root of 9248 is about 20.9901692460.

The spelling of 9248 in words is "nine thousand, two hundred forty-eight".