Monday, March 22, 2021

Number of the day: 51371

Properties of the number 51371:

51371 is a cyclic number.
51371 = 47 × 1093 is semiprime and squarefree.
51371 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 50232 totatives.
51371 has an emirp digit sum 17 in base 10.
51371 has a sphenic digit product 105 in base 10.
51371 has a triangular digit product 105 in base 10.
Reversing the decimal digits of 51371 results in an emirpimes.
51371 = 256862 - 256852 = 5702 - 5232 is the difference of 2 nonnegative squares in 2 ways.
51371 is the difference of 2 positive pentagonal numbers in 2 ways.
51371 = 112 + 252 + 2252 is the sum of 3 positive squares.
513712 = 62042 + 509952 is the sum of 2 positive squares in 1 way.
513712 is the sum of 3 positive squares.
51371 is a proper divisor of 9413 - 1.
51371 = '51' + '371' is the concatenation of 2 semiprime numbers.
51371 is an emirpimes in (at least) the following bases: 4, 5, 6, 7, 10, 11, 14, 23, 24, 27, 33, 34, 36, 37, 38, 39, 43, 44, 49, 52, 58, 59, 60, 62, 66, 67, 81, 82, 83, 84, 85, 88, 89, 92, and 94.
51371 is palindromic in (at least) the following bases: 54, -45, and -50.
51371 in base 42 = T55 and consists of only the digits '5' and 'T'.
51371 in base 44 = QNN and consists of only the digits 'N' and 'Q'.
51371 in base 49 = LJJ and consists of only the digits 'J' and 'L'.
51371 in base 54 = HXH and consists of only the digits 'H' and 'X'.
51371 in base 58 = FFf and consists of only the digits 'F' and 'f'.

The number 51371 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A008384: Crystal ball sequence for A_4 lattice.
A234729: Volume of right regular hexagonal pyramid with height and side lengths n, rounded down.

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