Wednesday, June 1, 2016

Number of the day: 59854

Properties of the number 59854:

59854 = 2 × 29927 is semiprime and squarefree.
59854 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 29926 totatives.
59854 has an emirp digit sum 31 in base 10.
Reversing the decimal digits of 59854 results in a sphenic number.
59854 is the sum of 2 positive triangular numbers.
59854 is the difference of 2 positive pentagonal numbers in 2 ways.
59854 = 632 + 1422 + 1892 is the sum of 3 positive squares.
598542 is the sum of 3 positive squares.
59854 is a divisor of 47913 - 1.
59854 is an emirpimes in (at least) the following bases: 2, 4, 7, 8, 9, 13, 15, 19, 20, 31, 37, 38, 39, 40, 42, 44, 52, 55, 56, 58, 65, 70, 73, 76, 78, 79, 80, 85, 87, 88, 95, and 100.
59854 is palindromic in (at least) the following bases: 41, 64, and -49.
59854 in base 41 = ZOZ and consists of only the digits 'O' and 'Z'.
59854 in base 48 = Pkk and consists of only the digits 'P' and 'k'.

The number 59854 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A042016: Numerators of continued fraction convergents to sqrt(532).
A192962: Constant term of the reduction by x^2->x+1 of the polynomial p(n,x) defined at Comments.
A226393: Number of nondecreasing -2..2 vectors of length n whose dot product with some nonincreasing -2..2 vector equals n

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