36 is the closest you're going to get.
36 has the factors 1, 2, 3, 4, 6, 9, 12, 18, and 36, for a total of 9 factors. There are no numbers between 1 and 50 that have 10 factors and a 6 in the ones place. Here's the list:
- 6: 4 factors
- 16: 5 factors
- 26: 4 factors
- 36: 9 factors
- 46: 4 factors
