Number of the day: 4448

Properties of the number 4448:

4448 = 2⁵ × 139 is the 3843^th composite number and is not squarefree.
4448 has 2 distinct prime factors, 12 divisors, 13 antidivisors and 2208 totatives.
4448 has an oblong digit sum 20 in base 10.
4448 = 1113² - 1111² = 558² - 554² = 282² - 274² = 147² - 131² is the difference of 2 nonnegative squares in 4 ways.
4448 = 8² + 28² + 60² is the sum of 3 positive squares.
4448² is the sum of 3 positive squares.
4448 is a proper divisor of 97⁶ - 1.
4448 is palindromic in (at least) the following bases: 35, 39, -23, -24, and -57.
4448 in base 3 = 20002202 and consists of only the digits '0' and '2'.
4448 in base 6 = 32332 and consists of only the digits '2' and '3'.
4448 consists of only the digits '4' and '8'.
4448 in base 18 = dd2 and consists of only the digits '2' and 'd'.
4448 in base 22 = 944 and consists of only the digits '4' and '9'.
4448 in base 23 = 899 and consists of only the digits '8' and '9'.
4448 in base 34 = 3ss and consists of only the digits '3' and 's'.
4448 in base 35 = 3m3 and consists of only the digits '3' and 'm'.
4448 in base 38 = 332 and consists of only the digits '2' and '3'.
4448 in base 39 = 2a2 and consists of only the digits '2' and 'a'.

The number 4448 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000938: Number of collinear point-triples in an n X n grid.
A001100: Triangle read by rows: T(n,k) = number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1.
A128129: Expansion of (chi(-q^3)/ chi^3(-q) -1)/3 in powers of q where chi() is a Ramanujan theta function.
A135110: Positive numbers such that the digital sum base 2 and the digital sum base 10 are in a ratio of 2:10.
A164617: Expansion of (phi^3(q^3) / phi(q)) * (psi(-q^3) / psi^3(-q)) in powers of q where phi(), psi() are Ramanujan theta functions.
A178740: Product of the 5th power of a prime (A050997) and a different prime (p^5*q).
A233682: T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 6 (6 maximizes T(1,1))
A289501: Number of enriched p-trees of weight n.
A292734: Numbers in which 4 outnumbers all other digits together.
A320067: Expansion of Product_{k>0} theta_3(q^k), where theta_3() is the Jacobi theta function.