Number of the day: 61348

Marius Sophus Lie was born on this day 175 years ago.

Properties of the number 61348:

61348 = 2² × 7² × 313 is the 55175^th composite number and is not squarefree.
61348 has 3 distinct prime factors, 18 divisors, 15 antidivisors and 26208 totatives.
61348 has a semiprime digit sum 22 in base 10.
61348 = 15338² - 15336² = 2198² - 2184² = 362² - 264² is the difference of 2 nonnegative squares in 3 ways.
61348 is the difference of 2 positive pentagonal numbers in 3 ways.
61348 = 168² + 182² is the sum of 2 positive squares in 1 way.
61348 = 38² + 48² + 240² is the sum of 3 positive squares.
61348² = 4900² + 61152² is the sum of 2 positive squares in 1 way.
61348² is the sum of 3 positive squares.
61348 is a proper divisor of 1877¹⁴ - 1.
61348 is palindromic in (at least) base 5.
61348 in base 3 = 10010011011 and consists of only the digits '0' and '1'.
61348 in base 25 = 3n3n and consists of only the digits '3' and 'n'.
61348 in base 27 = 3344 and consists of only the digits '3' and '4'.
61348 in base 39 = 11D1 and consists of only the digits '1' and 'D'.
61348 in base 45 = UDD and consists of only the digits 'D' and 'U'.

The number 61348 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A027105: a(n) =Sum{T(n,k)*T(n,2n-k)}, 0<=k<=n-1, T given by A027082.
A217631: Number of nX2 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..1 nX2 array
A241431: Number of nX4 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4
A276492: Numbers n such that 5*10^n + 59 is prime.