56 µF is not a common value. Digikey do supply them though; look at
http://www.digikey.com/product-detail/en/EKZE630ELL560MHB5D/565-1720-ND/756236.
Aluminium electrolytic capacitors generally have an initial value tolerance of +/- 20% or worse, and their values vary with temperature and age as well, so there is little point specifying capacitance a value like 56 µF because it's only 19% higher than 47 µF.
The fact that such a specific value was originally used in your board makes me suspect that it's an unusual type of capacitor that is more accurate than a typical electrolytic. Can you post a photo of the original capacitor? Or at least post all the markings on it?
You can make a 56 µF capacitor by connecting a 47 µF capacitor and a 10 µF capacitor in parallel (the values add together, and 57 is close enough to 56) but if the original capacitor was special in some way, this may not be a suitable replacement.
A search of Digikey for other 56 µF capacitors also turned up the following results.
A 56 µF, 63V film capacitor - this type is non-polarised, large, and expensive, and has a 10% initiail value tolerance:
http://www.digikey.com/product-detail/en/B32526T0566K/495-4584-ND/3523606
A 56 µF, 75V tantalum capacitor (10% tolerance, very expensive):
http://www.digikey.com/product-detail/en/109D566X9075T2/718-1224-ND/1559880
Another 56 µF, 75V tantalum capacitor, military rated (even more expensive):
http://www.digikey.com/product-detail/en/M39006/22-0617/1012-1018-MIL/2773724
It might help if you post a photo of the circuit board. We may be able to get an idea of what function the capacitor was used for, which might help us determine what type would be best.