What numbers have the same representation (apart from trailing 0's) in both single- and double-precision?

Analyze the what numbers have the same representation (apart from trailing 0's) in both single- and double-precision?.

Examples
Input: "test_input_1"
Output: "output_1"
Hints

What numbers have the same representation (apart from trailing 0's) in both single- and double-precision?

Analyze the what numbers have the same representation (apart from trailing 0's) in both single- and double-precision?.