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Find the ONLY 5-digit positive integer that has ALL of the following properties?

0 votes

i) It is a square number
ii) It is an ordered number
iii) Each digit of the number is a square number

A number is an ordered number when its digits are in an increasing sequence. For example, 136 is an ordered number but 163 is not.

posted Sep 28, 2014 by anonymous

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1 Answer

+2 votes
Best answer

all digits are square number

answer Oct 1, 2014 by Muniprasad

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+1 vote

For some positive integer k both 4^k and 5^k start with the same digit x in base 10 i.e.
4^k = x.....
5^k = x.....
What is the sum of all possible values of x.

0 votes

I'm thinking of a number.

  • It is a two-digit positive integer.
  • The sum of its digits is 10.
  • Subtracting 72 from the number swaps its two digits.

What is the number?

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