### 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 = 31

^{2}+ 61

^{2}is the sum of 2 positive squares in 1 way.

4682 = 7

^{2}+ 12

^{2}+ 67

^{2}is the sum of 3 positive squares.

4682

^{2}= 2760

^{2}+ 3782

^{2}is the sum of 2 positive squares in 1 way.

4682

^{2}is the sum of 3 positive squares.

4682 is a proper divisor of 809

^{5}- 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

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