Fatal error: Allowed memory size of 33554432 bytes exhausted

Another WordPress upgrade issue.  This time the exact error message is as follows:

Downloading update from http://wordpress.org/wordpress-2.8.3.zip.

Fatal error: Allowed memory size of 33554432 bytes exhausted (tried to allocate 2357261 bytes) in /home/xxx/public_html/wp-includes/http.php on line 1324

There are a couple ways to fix this issue, with the easiest is to edit wp-settings.php at line 13 and increase the value from 32M to 64M:

define('WP_MEMORY_LIMIT', '64M');

As per this WordPress support topic you can also increase your host php limit which will help fix the issue in the future.