838086803.rb

for code in "1000".."9999"
  a, b, c, d = code.bytes.map {|byte| byte - 0x30}

  n = code.to_i
  x = a + b + c + d
  # min(x) = 1
  # max(x) = 36

  next if x == 1

  expx = 1
  while expx < n
    expx = expx * x
    if expx == n
      puts "hit n:#{n} x:#{x}"
    end
  end
end