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9024 = 26347

9024 has 28 divisors (see below), whose sum is σ = 24384. Its totient is φ = 2944.

The previous prime is 9013. The next prime is 9029. The reversal of 9024 is 4209.

It is a Cunningham number, because it is equal to 952-1.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 8994 and 9012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9029) by changing a digit.

9024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169 + ... + 215.

29024 is an apocalyptic number.

9024 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192).

9024 is an abundant number, since it is smaller than the sum of its proper divisors (15360).

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

9024 is a wasteful number, since it uses less digits than its factorization.

9024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 9024 is about 94.9947366963. The cubic root of 9024 is about 20.8193114536.

Subtracting from 9024 its sum of digits (15), we obtain a palindrome (9009).

The spelling of 9024 in words is "nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024