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9528 = 233397
BaseRepresentation
bin10010100111000
3111001220
42110320
5301103
6112040
736531
oct22470
914056
109528
117182
125620
13444c
143688
152c53
hex2538

9528 has 16 divisors (see below), whose sum is σ = 23880. Its totient is φ = 3168.

The previous prime is 9521. The next prime is 9533. The reversal of 9528 is 8259.

9528 is nontrivially palindromic in base 5.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 397 = 9528 / (9 + 5 + 2 + 8).

It is a plaindrome in base 13 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 9498 and 9507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9521) 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, 175 + ... + 222.

29528 is an apocalyptic number.

It is an amenable number.

9528 is an abundant number, since it is smaller than the sum of its proper divisors (14352).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11940).

9528 is a wasteful number, since it uses less digits than its factorization.

9528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 9528 is about 97.6114747353. The cubic root of 9528 is about 21.1999050666.

The spelling of 9528 in words is "nine thousand, five hundred twenty-eight".