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PUZZLET 184

A Series of DigiNums

A DigiNum is an integer divisible by both the sum and product of its own digits. Find a series of 3 DigiNums a, b, c, with none in the intervals, such that they are an AP (Arithmetic Progression).  This means that c - b = b - a.

The first term, a, must be between 10 and 50,000.

Example solution:  12, 24, 36 are all DigiNums, they are in AP, and the only DigiNum between 12 and 36 is 24.


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