EMB145 FLIGHT CREW IS UNABLE TO RAISE LANDING GEAR AFTER TAKEOFF. THE CREW IS INFORMED THAT A TIRE HAS BLOWN; AND RETURN FOR UNEVENTFUL LANDING AFTER BURNING DOWN TO MAX LANDING WEIGHT.

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AFTER WE TOOK OFF WE RETRACTED THE LNDG GEAR AND GOT THE LNDG GEAR LEVER DISAGREEMENT MESSAGE AND RED INDICATION ON THE R MAIN. WE PROCEEDED TO DO THE EMER CHKLIST. WE NOTIFIED ATC AND THE FLT ATTENDANT. WHEN WE WERE UNABLE TO CLR THE MESSAGE WE CALLED OPS TOLD THEM OUR INTENTIONS TO RETURN. OPS ADVISED US THEY HEARD ON GND FREQ THAT TIRE DEBRIS WAS ON THE RWY. WE CALLED ATC TO CONFIRM WHAT WE HEARD. ATC CHKED WITH THE TWR AND THEN TOLD US IT WAS TRUE. WE DECIDED THEN TO DO A FLYBY TO HAVE THE TWR LOOK AND SEE THE EXTENT OF DAMAGE THAT WE MIGHT HAVE. WE BRIEFED THE FLT ATTENDANT; AND TOLD THE PAX. I BRIEFED THE FLYBY WITH THE FO AND RAN THE CHKLIST. AFTER THE FLYBY TWR CONFIRMED WE HAD A BLOWN TIRE. WE REQUESTED TO STAY IN THE PATTERN TO BURN FUEL TO BE BELOW MAX LNDG WT. ONCE AGAIN FLT ATTENDANT WAS ADVISED OF THE SIT. WHILE WE BURNED FUEL WE USED THE TIME TO REVIEW AGAIN THE EMER LNDG CHKLIST AND GND EVAC CHKLIST. WHEN WE REACHED MAX LNDG WT WE ASKED VECTORS BACK FOR LNDG. THE LNDG WAS SMOOTH; BUT DUE TO DAMAGE FROM THE BLOWN TIRE THE LNDG GEAR AIR GND SWITCH FAILED AND WE HAD MULTIPLE CAUTION MESSAGES ON THE EICAS. ONCE THE ACFT WAS STOPPED WE REQUESTED MAINT TO INSPECT THE LNDG GEAR AND A TUG. PAX DEPLANED AT THE TERMINAL VIA JETBRIDGE. THE TIRE BLEW AND WE ASSUMED DEBRIS FROM THE RUPTURED TIRE PREVENTED THE R GEAR TO FULLY RETRACT. THE TIRE WAS IN GOOD CONDITION; NOT SURE WHAT COULD HAVE BEEN DONE.