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$$48625 = 4^{5} + 8^{2} + 6^{6} + 2^{8} + 5^{4}$$

Notice that the digits of the number are in digit order, while the exponents are the digits of the number in reverse order.

Do numbers of this form have a name?

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This is a fun question! +1 –  amWhy May 21 '13 at 0:16

1 Answer 1

up vote 11 down vote accepted

They are "tabulated" at OEIS. I use the quotes because there are only two of them, the other one being $397612$ (I don't count $1$). No name is given at that site, but there are some links there that you might follow up. If you find anything, be sure to let us know.

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Thanks. I thought there might possibly be only one, so at least there is another example and some things to investigate. Regards –  Amzoti Feb 10 '13 at 2:54

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