The integer 8 can be written as the sum of 4 integers 1, 1, 2, 4, or as the product of these 4 integers. Then how many integers are at least not equal to 2008, so that their sum is equal to 2008, and their product is also equal to 2008.
整数8可以写成1、1、2、4这4个整数的和，也可写成这4个整数的乘积．那么最少有多少个不等于2008的整数，使得它们的和等于2008，它们的乘积也等于2008．
<result>1_004</result>