Friday, May 18, 2018

Number of the day: 58278

Bertrand Russell was born on this day 146 years ago.

Properties of the number 58278:

58278 = 2 × 3 × 11 × 883 is the 52375th composite number and is squarefree.
58278 has 4 distinct prime factors, 16 divisors, 11 antidivisors and 17640 totatives.
58278 has a sphenic digit sum 30 in base 10.
58278 has an oblong digit sum 30 in base 10.
58278 is the sum of 2 positive triangular numbers.
58278 is the difference of 2 positive pentagonal numbers in 2 ways.
58278 = 12 + 142 + 2412 is the sum of 3 positive squares.
582782 is the sum of 3 positive squares.
58278 is a proper divisor of 14296 - 1.
58278 = '58' + '278' is the concatenation of 2 semiprime numbers.
58278 = '582' + '78' is the concatenation of 2 sphenic numbers.
58278 is palindromic in (at least) base 96.
58278 in base 21 = 6633 and consists of only the digits '3' and '6'.
58278 in base 39 = cCC and consists of only the digits 'C' and 'c'.

The number 58278 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A014531: Form array in which n-th row is obtained by expanding (1+x+x^2)^n and taking the 2nd column from the center.
A120906: Triangle read by rows: T(n,k) is the number of ternary words of length n on {0,1,2} having k drops (n>=0, k>=0). The drops of a ternary word on {0,1,2} are the subwords 10,20 and 21.
A227496: The Wiener index of the nanostar dendrimer defined pictorially as NS_3[n] in the Ashrafi et al. references.
A238875: Subdiagonal partitions: number of partitions (p1, p2, p3, ...) of n with pi <= i.
A291080: Irregular triangle read by rows: T(n,m) = number of lattice paths of type {A^H}_R terminating at point (n, m).

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