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9028 = 223761
BaseRepresentation
bin10001101000100
3110101101
42031010
5242103
6105444
735215
oct21504
913341
109028
116868
125284
134156
14340c
152a1d
hex2344

9028 has 12 divisors (see below), whose sum is σ = 16492. Its totient is φ = 4320.

The previous prime is 9013. The next prime is 9029. The reversal of 9028 is 8209.

It can be written as a sum of positive squares in 2 ways, for example, as 3844 + 5184 = 62^2 + 72^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

9028 is an undulating number in base 11.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 8996 and 9014.

It is a congruent number.

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

9028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118 + ... + 178.

29028 is an apocalyptic number.

It is an amenable number.

9028 is a deficient number, since it is larger than the sum of its proper divisors (7464).

9028 is a wasteful number, since it uses less digits than its factorization.

9028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 9028 is about 95.0157881618. The cubic root of 9028 is about 20.8223871386.

Subtracting from 9028 its sum of digits (19), we obtain a palindrome (9009).

The spelling of 9028 in words is "nine thousand, twenty-eight".

Divisors: 1 2 4 37 61 74 122 148 244 2257 4514 9028