Number of the day: 1848

Properties of the number 1848:

1848 = 2³ × 3 × 7 × 11 is the 1564^th composite number and is not squarefree.
1848 has 4 distinct prime factors, 32 divisors, 9 antidivisors and 480 totatives.
1848 has a semiprime digit sum 21 in base 10.
1848 has a Fibonacci digit sum 21 in base 10.
1848 has a triangular digit sum 21 in base 10.
Reversing the decimal digits of 1848 results in a sphenic number.
1848 = 463² - 461² = 233² - 229² = 157² - 151² = 83² - 71² = 73² - 59² = 53² - 31² = 47² - 19² = 43² - 1² is the difference of 2 nonnegative squares in 8 ways.
1848 is the sum of 2 positive triangular numbers.
1848 is the difference of 2 positive pentagonal numbers in 2 ways.
1848 = 2² + 20² + 38² is the sum of 3 positive squares.
1848² is the sum of 3 positive squares.
1848 is a proper divisor of 43² - 1.
1848 is palindromic in (at least) the following bases: 19, 26, 43, 55, 65, 76, 83, 87, -5, and -16.
1848 in base 15 = 833 and consists of only the digits '3' and '8'.
1848 in base 17 = 66c and consists of only the digits '6' and 'c'.
1848 in base 18 = 5cc and consists of only the digits '5' and 'c'.
1848 in base 19 = 525 and consists of only the digits '2' and '5'.
1848 in base 21 = 440 and consists of only the digits '0' and '4'.
1848 in base 25 = 2nn and consists of only the digits '2' and 'n'.
1848 in base 26 = 2j2 and consists of only the digits '2' and 'j'.

The number 1848 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000926: Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers).
A005563: a(n) = n*(n+2) = (n+1)^2 - 1.
A007434: Jordan function J_2(n) (a generalization of phi(n)).
A020492: Balanced numbers: numbers n such that phi(n) (A000010) divides sigma(n) (A000203).
A033996: 8 times triangular numbers: a(n) = 4*n*(n+1).
A062354: a(n) = sigma(n)*phi(n).
A063886: Number of n-step walks on a line starting from the origin but not returning to it.
A067998: a(n) = n^2 - 2*n.
A069482: a(n) = prime(n+1)^2 - prime(n)^2.
A137932: Terms in an n X n spiral that do not lie on its principal diagonals.