XOR

Author: mistertfy64

(The maximum score for this problem is 34400 points.)

Find the sum of the integers in the range [10000, 50000] that satisfy exactly 1 condition for each of 1., 2., 3., and 4.

1. • The number is divisible by 2.
   • The number is divisible by 4.
2. • The digital root of the number is divisible by 3.
   • The digit sum of the number is 9.
3. • The number ends in a 1.
   • The second digit from the right is a 1.
4. • The first digit of the number is even.
   • The last digit of the number is even (or ends in a 0).

Do not include number separators (e.g., commas and dots) in your answer.

Correct Answers