Number of the day: 5148

Properties of the number 5148:

5148 is the 1294^th totient number.
5148 = 2² × 3² × 11 × 13 is the 4461^th composite number and is not squarefree.
5148 has 4 distinct prime factors, 36 divisors, 19 antidivisors and 1440 totatives.
5148 = 1288² - 1286² = 432² - 426² = 152² - 134² = 128² - 106² = 112² - 86² = 72² - 6² is the difference of 2 nonnegative squares in 6 ways.
5148 is the sum of 2 positive triangular numbers.
5148 is not the sum of 3 positive squares.
5148² = 1980² + 4752² is the sum of 2 positive squares in 1 way.
5148² is the sum of 3 positive squares.
5148 is a proper divisor of 1871² - 1.
5148 is palindromic in (at least) the following bases: 77, 98, -49, and -62.
5148 in base 50 = 22m and consists of only the digits '2' and 'm'.

The number 5148 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A006011: a(n) = n^2*(n^2 - 1)/4.
A028723: a(n) = (1/4)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2)*floor((n-3)/2).
A029651: Central elements of the (1,2)-Pascal triangle A029635.
A033991: a(n) = n*(4*n-1).
A045873: a(n) = A006496(n)/2.
A050486: a(n) = binomial(n+6,6)*(2n+7)/7.
A111125: Triangle read by rows: T(k,s) = ((2*k+1)/(2*s+1))*binomial(k+s,2*s), 0 <= s <= k.
A200192: T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing
A213697: T(n,k)=Half the number of (n+1)X(n+1) symmetric 0..k arrays with no 2X2 subblock summing to 2k
A247726: T(n,k)=Number of length n+3 0..k arrays with no disjoint pairs in any consecutive four terms having the same sum