Here is the correct categorization for each number set or type of number:
- Repeating decimals (0.454545...) - Rational Numbers
- Whole numbers {0, 1, 2, 3, 4, ....} - Whole Numbers
- Non-Repeating decimal (.44454647....) - Irrational Numbers
- Integers - Integers
- {1/2, 1/4, 1/8, 1/16, 1/32} - Rational Numbers
Note: In this format, ensure to place each response in the corresponding input as instructed. If the categories provided are specific, please mention them for a more accurate arrangement.