I know this is nicky picky, but actually what the AWStats says is “+4,000,000 visits/month” NOT HITS. There is a big difference between hits and visits.
Yes that is correct, but the AWStats page address Visits not hits as here is AWStats own definion of HITS: This is other important information to know:
A log file size is about 150 (NCSA common/CLF log files) to 320 times (NCSA extended/XLF/ELF log files) its number of lines,
The stuff on one line of a log file for index.html is going to be exactly the same as the stuff for some_random_image.png, apart from the file name, file size and time of request. It’s still a line, it still has to be counted.
Awstats makes a distinction between Hits and Pages so that people can see how many people went to *.html, *.php etc (pages), and how many requests there were for all files (hits).