Number of the day: 2758

Properties of the number 2758:

2758 = 2 × 7 × 197 is a sphenic number and squarefree.
2758 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 1176 totatives.
2758 has a semiprime digit sum 22 in base 10.
2758 is the difference of 2 positive pentagonal numbers in 4 ways.
2758 = 6² + 11² + 51² is the sum of 3 positive squares.
2758² = 392² + 2730² is the sum of 2 positive squares in 1 way.
2758² is the sum of 3 positive squares.
2758 is a proper divisor of 211⁴ - 1.
2758 is palindromic in (at least) the following bases: 29, -15, -21, -27, and -52.
2758 in base 14 = 1010 and consists of only the digits '0' and '1'.
2758 in base 17 = 994 and consists of only the digits '4' and '9'.
2758 in base 26 = 422 and consists of only the digits '2' and '4'.
2758 in base 28 = 3ee and consists of only the digits '3' and 'e'.
2758 in base 29 = 383 and consists of only the digits '3' and '8'.
2758 in base 52 = 112 and consists of only the digits '1' and '2'.

The number 2758 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A022265: a(n) = n*(7*n + 1)/2.
A034262: a(n) = n^3 + n.
A052284: Number of compositions of n into nonprime numbers.
A177915: Numbers n such that n^3 divides 15^(n^2)-1.
A182714: Number of 4's in the last section of the set of partitions of n.
A200809: T(n,k)=Number of nXk 0..2 arrays with no average of any element and its diagonal, antidiagonal, horizontal and vertical neighbors equal to one
A227631: Array t(n,k): row n consists of the positive integers m for which the least splitter of H(m) and H(m+1) is n, where H denotes harmonic number.
A229308: Primitive numbers in A229304.
A229309: Primitive numbers in A229305.
A261380: T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101.