hem vs run up

hem is a noun but run up is not a noun.

Word	Noun	Adjective	Verb	Adverb
hem	Yes	No	Yes	No
run up	No	No	Yes	No

As verbs, run up is a hypernym of hem; that is, run up is a word with a broader meaning than hem:

Other hypernyms of hem include sew, sew together, stitch.

hem (noun)	run up (noun)
the edge of a piece of cloth; especially the finished edge that has been doubled under and stitched down
the utterance of a sound similar to clearing the throat; intended to get attention, express hesitancy, fill a pause, hide embarrassment, warn a friend, etc.

hem (verb)	run up (verb)
utter `hem' or `ahem'	pile up (debts or scores)
fold over and sew together to provide with a hem	raise by using ropes and pulleys
	fasten by sewing; do needlework
	make by sewing together quickly
	accumulate, sometimes as a debt