denumerable

adj.
Capable of being put into one-to-one correspondence with the positive integers; countable.

[From denumerate, to count, from Late Latin dēnumerāre, dēnumerāt-, alteration of Latin dīnumerāre : dī-, dis-, dis- + numerāre, to number; see numerate.]

denumerability de·nu'mer·a·bil'i·ty n.
denumerably de·nu'mer·a·bly adv.

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The adjective has one meaning:

Meaning #1: that can be counted
  Synonyms: countable, enumerable, numerable

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