MHB Integers and Divisibility Challenge

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Prove that $\dfrac{378^3+392^3+1053^3}{2579}$ is an integer.
 
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Hint:

One can do some algebraic manipulation to the numerator and therefore factorize them.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
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