perplexus.info :: Numbers : Powers of the Digits

Powers of the Digits (Posted on 2023-08-18)

Let N be an integer expressed in decimal.
Let D(N) be the sum of the digits of N expressed in decimal.
Let S(N) be the sum of the squares of the digits of N expressed in decimal.
Let C(N) be the sum of the cubes of the digits of N expressed in decimal.

Find the smallest pandigital number N (that is, containing all of the digits 0 to 9) which contains D(N), S(N) and C(N).

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required smallest pandigital integer N with the mentioned properties is:125,843,706,679.
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
computer-aided solution	Charlie	2023-08-18 13:18:23
Solution	Larry	2023-08-18 12:02:45

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