my linksys does this
its because it runs out of IP adresses to allocate by DHCP as everytime a client reboots it gives it the next available one
e.g
client 1 (192.168.1.1) reboots
client 1 now given (192.168.1.2)
client 2 powers on given (192.168.1.3)
etc..
after about 50 (there is a thing called "DHCP adress range" somehwere in your router setup) it will run out ip adresses to allocate
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