Related: Digital Cinema uses a 48Khz sample rate which gives exactly 2000 samples per frame, per channel. That makes it very easy to sync the audio to the film.
The 48Khz rate used by everything apart from CDs also came from video standards according to http://www.tvtechnology.com/opinions/0087/digital-audio-samp...
Here's some more about the number-theory used in digital video, from 1990 during the standardisation of HD: http://www.poynton.com/papers/SMPTE_90_Magic_Numbers.html