If the SB posts a $1 blind, and the BB posts a $2 blind, then SB can profitably push with this hand as long as his remaining stack is smaller than $11.948 (after posting). At $11.948 he will get called about 87% of the time.
The marginal hands BB folds at this point are things like 24JAsA (four-suited), 36TJsA, 678sKA, 25QsQA. He will call with slightly stronger holdings like 25AAA (unsuited) or 588QQ.
If SB's stack is $5.07 or less, BB can call the all-in with all of his hands. SB has a positive expectation of 57 cents.
If SB has just $1 left, his expectation from calling is a $0.86 profit.
If SB's stack is very large, BB calls the all-in with only about 53% of hands. For example, with $200 remaining, BB calls the push with 55% of hands and SB's expectation for the push is -$23. The hands on the margin for that stack size are things like 339TJ, 4469Q, 22236, or 23366.
An S-C number of 11.948 corresponds to Hold'em hands like J3s (12.040) or T6s (11.921).