Monday, July 23, 2018

Number of the day: 48609

Properties of the number 48609:

48609 = 32 × 11 × 491 is the 43609th composite number and is not squarefree.
48609 has 3 distinct prime factors, 12 divisors, 15 antidivisors and 29400 totatives.
48609 = 63 + 253 + 323 is the sum of 3 positive cubes in 1 way.
48609 = (46 × 47)/2 + … + (72 × 73)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
48609 = 243052 - 243042 = 81032 - 81002 = 27052 - 26962 = 22152 - 22042 = 7532 - 7202 = 2952 - 1962 is the difference of 2 nonnegative squares in 6 ways.
48609 is the difference of 2 positive pentagonal numbers in 1 way.
48609 = 532 + 582 + 2062 is the sum of 3 positive squares.
486092 is the sum of 3 positive squares.
48609 is a proper divisor of 88110 - 1.
48609 is palindromic in (at least) the following bases: 32, 72, and -75.
48609 in base 32 = 1ff1 and consists of only the digits '1' and 'f'.

The number 48609 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A158676: 62*n^2 + 1.
A289919: p-INVERT of (1,0,0,1,0,0,1,0,0,...), where p(S) = (1 - S)^2.

No comments:

Post a Comment