Sony MP3 Portable CD Walkman - DNE3000PSGRAY
THere is no on or off button and the autoshut off does not save the battery.  When not in use, you can hear the CD still spinning and the display indicates the player is waiting to start.  With all Sony products you have to purchase their (Sony) power adapters.  The GE universal power adapters do not fit any Sony unit but will work on all others.  I suggest if you do purchase Sony you buy one that includes everything so that you don't have to spend twice the price for a power adapter.  Power adapters run $5