Number of the day: 5493

Sofia Kovalevskaya was born on this day 168 years ago.

Properties of the number 5493:

5493 = 3 × 1831 is semiprime and squarefree.
5493 has 2 distinct prime factors, 4 divisors, 9 antidivisors and 3660 totatives.
5493 has a semiprime digit sum 21 in base 10.
5493 has a Fibonacci digit sum 21 in base 10.
5493 has a triangular digit sum 21 in base 10.
Reversing the decimal digits of 5493 results in a sphenic number.
5493 = 2747² - 2746² = 917² - 914² is the difference of 2 nonnegative squares in 2 ways.
5493 is the difference of 2 positive pentagonal numbers in 1 way.
5493 = 1² + 4² + 74² is the sum of 3 positive squares.
5493² is the sum of 3 positive squares.
5493 is a proper divisor of 571⁵ - 1.
5493 is an emirpimes in (at least) the following bases: 5, 6, 7, 8, 15, 16, 18, 19, 25, 29, 33, 37, 49, 53, 55, 56, 57, 62, 63, 69, 72, 77, 79, 85, 91, and 96.
5493 is palindromic in (at least) the following bases: 20, 21, -31, and -45.
5493 in base 4 = 1111311 and consists of only the digits '1' and '3'.
5493 in base 11 = 4144 and consists of only the digits '1' and '4'.
5493 in base 20 = ded and consists of only the digits 'd' and 'e'.
5493 in base 21 = c9c and consists of only the digits '9' and 'c'.
5493 in base 30 = 633 and consists of only the digits '3' and '6'.

The number 5493 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005421: Number of numbers of complexity n.
A202889: T(n,k)=Number of nXk 0..2 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor
A216211: Number of self-avoiding walks of any length from NW to SW corners of a grid or lattice with n rows and 4 columns.
A220153: T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array
A267019: T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo n and the upper left element equal to 0.
A271465: Array read by antidiagonals: T(n,m) = number of self-avoiding walks of any length from NW to SW corners on a grid with n rows and m columns.
A278978: Number of initial digits of ternary Pi wherein the digit counts of zeros and twos are exactly equal.
A279144: Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 137", based on the 5-celled von Neumann neighborhood.
A280147: Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 243", based on the 5-celled von Neumann neighborhood.
A284140: Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 805", based on the 5-celled von Neumann neighborhood.