Ok, just have to clarify for a lot of you who don't know and are making assumptions based on opinion alone. Superman:
#1 - This article says he does not require sleep. This is not completely true. He does not require REST, but requires sleep as not being able to dream causes him great distress.
#2 - Vs Hulk in a one on one... If it was just a blind smashing trading punches, all out mindless brawl.... Hulk all the way, he would simply reave Superman in 2. But given combined abilities, Superman wouldn't involve Hulk in a one on one melee matchup, he would devise a plan to incapacitate or weaken the Hulk, and therefore, win eventually.
#3 - Lead shields the effects of Kryptonite. Superman would use this to his advantage.
#4 - Unless I missed it in here somewhere, Batman was entrusted a piece of kryptonite by Superman as a "failsafe", and was told to stop him of the time ever came.