Number of the day: 8152

Properties of the number 8152:

8152 is the 1960^th totient number.
8152 = 2³ × 1019 is the 7128^th composite number and is not squarefree.
8152 has 2 distinct prime factors, 8 divisors, 13 antidivisors and 4072 totatives.
Reversing the decimal digits of 8152 results in a semiprime.
8152 = 3³ + 5³ + 20³ is the sum of 3 positive cubes in 1 way.
8152 = 2039² - 2037² = 1021² - 1017² is the difference of 2 nonnegative squares in 2 ways.
8152 is the sum of 2 positive triangular numbers.
8152 is the difference of 2 positive pentagonal numbers in 2 ways.
8152 = 4² + 6² + 90² is the sum of 3 positive squares.
8152² is the sum of 3 positive squares.
8152 is a proper divisor of 17⁵⁰⁹ - 1.
8152 is palindromic in (at least) the following bases: 42, -7, and -13.
8152 in base 41 = 4YY and consists of only the digits '4' and 'Y'.
8152 in base 42 = 4Q4 and consists of only the digits '4' and 'Q'.

The number 8152 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A003288: Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,0,2).
A032522: Number of point symmetric solutions to non-attacking queens problem on n X n board.
A050539: Numbers k such that 27*2^k-1 is prime.
A054410: Susceptibility series H_3 for 2-dimensional Ising model (divided by 2).
A054999: Integers that can be expressed as the sum of consecutive primes in exactly 4 ways.
A069125: a(n) = (11*n^2 - 11*n + 2)/2.
A073153: Triangle of numbers relating two sequences A073155 and A073156.
A189890: a(n) = (n^3 - 2*n^2 + 3*n + 2)/2.
A276891: Number T(n,k) of ordered set partitions of [n] where k is minimal such that for each block b the smallest integer interval containing b has at most k elements; triangle T(n,k), n>=0, 0<=k<=n, read by rows.
A302150: T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.