Only 1 species of 29: 4+5+7+ 13 and 6+8+ 15.

There is only one number left, and only even numbers remain:

The remaining 8 is 25, because 58-8=50, and half is 25: 4+6+ 15 and 5+7+ 13.

The remaining six are 26: 4+7+ 15 and 6+7+ 13.

27 of the remaining 4: 5+7+ 15 and 6+8+ 13.

Of the remaining two numbers, only two are singular or even at the same time: ... Forget it, that's enough.