### Properties of the number 4820:

4820 = 2^{2}× 5 × 241 is the 4170

^{th}composite number and is not squarefree.

4820 has 3 distinct prime factors, 12 divisors, 23 antidivisors and 1920 totatives.

4820 has a semiprime digit sum 14 in base 10.

4820 = 1206

^{2}- 1204

^{2}= 246

^{2}- 236

^{2}is the difference of 2 nonnegative squares in 2 ways.

4820 is the difference of 2 positive pentagonal numbers in 2 ways.

4820 = 46

^{2}+ 52

^{2}= 14

^{2}+ 68

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

4820 = 18

^{2}+ 20

^{2}+ 64

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

4820

^{2}= 2400

^{2}+ 4180

^{2}= 588

^{2}+ 4784

^{2}= 1904

^{2}+ 4428

^{2}= 2892

^{2}+ 3856

^{2}is the sum of 2 positive squares in 4 ways.

4820

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

4820 is a proper divisor of 659

^{4}- 1.

4820 is palindromic in (at least) the following bases: 18, 19, 61, -21, -29, -66, and -79.

4820 in base 18 = efe and consists of only the digits 'e' and 'f'.

4820 in base 19 = d6d and consists of only the digits '6' and 'd'.

4820 in base 24 = 88k and consists of only the digits '8' and 'k'.

4820 in base 28 = 644 and consists of only the digits '4' and '6'.

4820 in base 60 = 1KK and consists of only the digits '1' and 'K'.

4820 in base 61 = 1I1 and consists of only the digits '1' and 'I'.

### The number 4820 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A000899: Number of solutions to the rook problem on an n X n board having a certain symmetry group (see Robinson for details).

A005969: Sum of fourth powers of Fibonacci numbers.

A008608: Number of n X n upper triangular matrices A of nonnegative integers such that a_1i + a_2i + ... + a_{i-1,i} - a_ii - a_{i,i+1} - ... - a_in = -1.

A052447: Number of simple 2-edge-connected unlabeled n-node graphs.

A063867: Number of solutions to +- 1 +- 2 +- 3 +- ... +- n = 0 or +- 1.

A129991: Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+241)^2 = y^2.

A164770: Numbers n with property that average digit of n^2 is 2.

A235098: T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant stress tilted 1X1 tilings)

A265058: Coordination sequence for (2,3,8) tiling of hyperbolic plane.

A266650: Expansion of Product_{k>=1} (1 + x^k - x^(3*k)) / (1 - x^k).

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