### Properties of the number 6052:

6052 = 2^{2}× 17 × 89 is the 5262

^{th}composite number and is not squarefree.

6052 has 3 distinct prime factors, 12 divisors, 23 antidivisors and 2816 totatives.

6052 has an emirp digit sum 13 in base 10.

6052 has a Fibonacci digit sum 13 in base 10.

Reversing the decimal digits of 6052 results in a sphenic number.

6052 = (53 × 54)/2 + … + (56 × 57)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.

6052 = 1514

^{2}- 1512

^{2}= 106

^{2}- 72

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

6052 is the difference of 2 positive pentagonal numbers in 1 way.

6052 = 54

^{2}+ 56

^{2}= 24

^{2}+ 74

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

6052 = 34

^{2}+ 36

^{2}+ 60

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

6052

^{2}= 2848

^{2}+ 5340

^{2}= 220

^{2}+ 6048

^{2}= 3552

^{2}+ 4900

^{2}= 2652

^{2}+ 5440

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

6052

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

6052 is a proper divisor of 1123

^{4}- 1.

6052 is palindromic in (at least) the following bases: 36, 50, 55, 88, -31, -42, and -55.

6052 in base 6 = 44004 and consists of only the digits '0' and '4'.

6052 in base 27 = 884 and consists of only the digits '4' and '8'.

6052 in base 35 = 4ww and consists of only the digits '4' and 'w'.

6052 in base 36 = 4o4 and consists of only the digits '4' and 'o'.

6052 in base 49 = 2PP and consists of only the digits '2' and 'P'.

6052 in base 50 = 2L2 and consists of only the digits '2' and 'L'.

6052 in base 54 = 244 and consists of only the digits '2' and '4'.

6052 in base 55 = 202 and consists of only the digits '0' and '2'.

### The number 6052 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A006128: Total number of parts in all partitions of n. Also, sum of largest parts of all partitions of n.

A018813: Number of lines through exactly 6 points of an n X n grid of points.

A028305: Triangle of numbers of permutations eliminating just k cards out of n in game of Mousetrap.

A101709: Number of partitions of n having nonnegative even rank (the rank of a partition is the largest part minus the number of parts).

A108099: a(n) = 8n^2 + 8n + 4.

A122919: Inverse of Riordan array (1/(1+x+x^2),x/(1+x)^2).

A237832: Number of partitions of n such that (greatest part) - (least part) = number of parts.

A244385: Numbers n such that 1 + n + n^3 + n^5 + n^7 + n^9 + ... + n^37 is prime.

A272423: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 473", based on the 5-celled von Neumann neighborhood.

A277449: Numbers n such that there is exactly one nontrivial square n-gonal number.

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