Tuesday, June 6, 2017

Number of the day: 50633

Aleksandr Mikhailovich Lyapunov was born on this day 160 years ago.

Properties of the number 50633:

50633 is a cyclic number.
50633 = 11 × 4603 is semiprime and squarefree.
50633 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 46020 totatives.
50633 has an emirp digit sum 17 in base 10.
50633 = 253172 - 253162 = 23072 - 22962 is the difference of 2 nonnegative squares in 2 ways.
50633 is the difference of 2 positive pentagonal numbers in 2 ways.
50633 = 42 + 212 + 2242 is the sum of 3 positive squares.
506332 is the sum of 3 positive squares.
50633 is a proper divisor of 17915 - 1.
50633 is an emirpimes in (at least) the following bases: 2, 3, 4, 9, 14, 19, 21, 26, 30, 32, 33, 35, 36, 37, 41, 44, 46, 49, 51, 55, 58, 62, 65, 67, 68, 69, 73, 77, 82, 86, 89, 91, 94, 97, and 98.
50633 is palindromic in (at least) the following bases: 53, 66, 71, and -81.
50633 in base 37 = aaH and consists of only the digits 'H' and 'a'.
50633 in base 39 = XBB and consists of only the digits 'B' and 'X'.
50633 in base 52 = Ibb and consists of only the digits 'I' and 'b'.
50633 in base 53 = I1I and consists of only the digits '1' and 'I'.

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