# Alternative for PowerRepresentations[n, x, 1]

I am looking for numbers $$n$$ that can be written as the sum of other numbers. So: PowersRepresentations[n, x, 1]. But is there a faster way of finding these numbers? And is there a way to do the same calculation but with multiplication instead of addition?

• Have you explored IntegerPartitions for the case of addition?
– Syed
Jan 14 at 19:13
• For the case of multiplication you would need the prime factors Jan 14 at 19:39