Number of the day: 4682

Properties of the number 4682:

4682 = 2 × 2341 is semiprime and squarefree.
4682 has 2 distinct prime factors, 4 divisors, 5 antidivisors and 2340 totatives.
4682 has an oblong digit sum 20 in base 10.
4682 has sum of divisors equal to 7026 which is a sphenic number.
4682 is the sum of 2 positive triangular numbers.
4682 = 31² + 61² is the sum of 2 positive squares in 1 way.
4682 = 7² + 12² + 67² is the sum of 3 positive squares.
4682² = 2760² + 3782² is the sum of 2 positive squares in 1 way.
4682² is the sum of 3 positive squares.
4682 is a proper divisor of 809⁵ - 1.
4682 = '46' + '82' is the concatenation of 2 semiprime numbers.
4682 is an emirpimes in (at least) the following bases: 5, 6, 8, 14, 19, 26, 28, 29, 30, 35, 36, 50, 53, 54, 56, 57, 58, 62, 63, 64, 68, 69, 70, 71, 72, 73, 75, 77, 79, 80, 82, 83, 84, 92, 95, 98, and 99.
4682 is palindromic in (at least) the following bases: 25, 40, 45, -8, -28, -52, -60, and -65.
4682 in base 5 = 122212 and consists of only the digits '1' and '2'.
4682 in base 8 = 11112 and consists of only the digits '1' and '2'.
4682 in base 25 = 7c7 and consists of only the digits '7' and 'c'.
4682 in base 27 = 6bb and consists of only the digits '6' and 'b'.
4682 in base 39 = 332 and consists of only the digits '2' and '3'.
4682 in base 40 = 2b2 and consists of only the digits '2' and 'b'.
4682 in base 44 = 2II and consists of only the digits '2' and 'I'.
4682 in base 45 = 2E2 and consists of only the digits '2' and 'E'.

The number 4682 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A002219: a(n) is the number of partitions of 2n that can be obtained by adding together two (not necessarily distinct) partitions of n.
A046630: Number of cubic residues mod 2^n.
A047853: a(n)=T(5,n), array T given by A047848.
A052875: E.g.f.: (exp(x)-1)^2/(2-exp(x)).
A121350: Number of conjugacy class of index n subgroups in PSL_2 (ZZ).
A199120: Number of partitions of n into terms of (1,4)-Ulam sequence, cf. A003666.
A213375: Irregular array T(n,k) of numbers/2 of non-extendable (complete) non-self-adjacent simple paths of each length within a square lattice bounded by rectangles with nodal dimensions n and 5, n >= 2.
A213379: Irregular array T(n,k) of numbers/2 of non-extendable (complete) non-self-adjacent simple paths of each length within a square lattice bounded by rectangles with nodal dimensions n and 6, n >= 2.
A232376: T(n,k)=Number of nXk 0..3 arrays with every 0 next to a 1, every 1 next to a 2 and every 2 next to a 3 horizontally, diagonally or antidiagonally, and no adjacent values equal
A252384: T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7