You lease a

You lease a car with a $$600$ down payment $($due at the start of the lease$),48$ monthly payments of $$578($first payment due one month from today$),$ and a $$14,000$ residual value which will be due when the lease ends if you keep the car. You plan to keep the car forever. If your cost of capital is an APR of $4\mathrm{.}8\%($compounded monthly$),$ what is the total cost $($i$.$e$.,$ total PV$)$ of the lease including the down payment, lease payments, and residual value? Round and express your answer to the nearest whole dollar $($i$.$e$.,$ nearest integer$).$