Number of the day: 4252

Properties of the number 4252:

4252 is the 1081^th totient number.
4252 = 2² × 1063 is the 3669^th composite number and is not squarefree.
4252 has 2 distinct prime factors, 6 divisors, 25 antidivisors and 2124 totatives.
4252 has an emirp digit sum 13 in base 10.
4252 has a Fibonacci digit sum 13 in base 10.
4252 = 1064² - 1062² is the difference of 2 nonnegative squares in 1 way.
4252 is the sum of 2 positive triangular numbers.
4252 is the difference of 2 positive pentagonal numbers in 1 way.
4252 is not the sum of 3 positive squares.
4252² is the sum of 3 positive squares.
4252 is a proper divisor of 719⁶ - 1.
4252 is palindromic in (at least) the following bases: -13, -21, -31, -36, and -50.
4252 in base 3 = 12211111 and consists of only the digits '1' and '2'.
4252 in base 20 = acc and consists of only the digits 'a' and 'c'.
4252 in base 32 = 44s and consists of only the digits '4' and 's'.
4252 in base 37 = 33Y and consists of only the digits '3' and 'Y'.

The number 4252 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A055328: Number of rooted identity trees with n nodes and 3 leaves.
A077297: Partition the concatenation 1234567...of natural numbers into successive strings which are multiples of 4, all different and > 4. ( 0's never taken as the most significant digit.)
A090748: Numbers n such that 2^(n+1) - 1 is prime.
A134212: Positions of 12 after decimal point in decimal expansion of Pi.
A193492: Put the natural numbers together without spaces and read them four at a time advancing one space each time.
A212585: Walks of length n on the x-axis using steps {1,-1} and visiting no point more than twice.
A239262: Number of partitions of n having (sum of odd parts) > (sum of even parts).
A272790: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 537", based on the 5-celled von Neumann neighborhood.
A320234: Expansion of Product_{k=1..8} theta_3(q^k), where theta_3() is the Jacobi theta function.
A353255: Expansion of Sum_{k>=0} x^k * Product_{j=0..k-1} (2 * j + x).