Java Integer out of range -

i'm learning java , i'm trying little programs. have problem one:

/*  compute number of cubic inches  in 1 cubic mile. */ class inches {     public static void main(string args[]) {         int ci;         int im;          im = 5280 * 12;          ci = im * im * im;          system.out.println("there " + ci + " cubic inches in cubic mile.");     } } 

the output is:

there 1507852288 cubic inches in cubic mile. 

i known width in bits integer 32, range is: -2,147,483,648 2,147,483,647

why output 1507852288? should 2,147,483,647.

thank you.

when result crosses maximum values of int overflowed ie, integer overflow. may better want use long instead of int.

you may interested read: integer overflow , underflow in java.

arithmetic integer operations performed in 32-bit precision. when resultant value of operation larger 32 bits (the maximum size int variable can hold) low 32 bits taken consideration , high order bits discarded. when msb (most significant bit) 1 value treated negative.