Additive bases and Niven numbers
Abstract
Let g ≥ 2 be an integer. A natural number is said to be a base-g Niven number if it is divisible by the sum of its base-g digits. Assuming Hooley's Riemann Hypothesis, we prove that the set of base-g Niven numbers is an additive basis, that is, there exists a positive integer Cg such that every natural number is the sum of at most Cg base-g Niven numbers.
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