Sunday, March 18, 2018

Number of the day: 49683

Christian Goldbach was born on this day 328 years ago.

Properties of the number 49683:

49683 = 3 × 16561 is semiprime and squarefree.
49683 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 33120 totatives.
49683 has a sphenic digit sum 30 in base 10.
49683 has an oblong digit sum 30 in base 10.
Reversing the decimal digits of 49683 results in a sphenic number.
49683 = 248422 - 248412 = 82822 - 82792 is the difference of 2 nonnegative squares in 2 ways.
49683 is the sum of 2 positive triangular numbers.
49683 is the difference of 2 positive pentagonal numbers in 1 way.
49683 = 12 + 292 + 2212 is the sum of 3 positive squares.
496832 = 103172 + 486002 is the sum of 2 positive squares in 1 way.
496832 is the sum of 3 positive squares.
49683 is a proper divisor of 4215 - 1.
49683 = '4' + '9683' is the concatenation of 2 semiprime numbers.
49683 is an emirpimes in (at least) the following bases: 3, 8, 15, 17, 25, 31, 33, 40, 43, 44, 45, 47, 49, 51, 54, 59, 65, 66, 81, 93, 96, and 98.
49683 is palindromic in (at least) base 87.
49683 in base 45 = OO3 and consists of only the digits '3' and 'O'.

The number 49683 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A025976: Expansion of 1/((1-2x)(1-4x)(1-8x)(1-9x)).
A082865: a(n) is the sum of the preceding terms that are coprime to n.

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