252645120

252,645,120 is a positive integer notable for its arithmetic structure. In decimal form it has nine digits and lies in the 2.5×10^8 range.

Its prime factorization is 252,645,120 = 2^8 × 3^2 × 5 × 7 × 13 × 241. This shows the number is a product of small primes with a single larger prime factor, 241.

From the factorization, several properties follow. The presence of 2^8 and 5 means the number ends with exactly one trailing zero. It is divisible by 2^8 (256) and by 5, and it is divisible by 3^2 (9) but not by 3^3 (27), since the exponent of 3 is 2. It is also divisible by 7, 13, and 241, as indicated by the factorization.

The radical, or the product of distinct prime factors, is 2 × 3 × 5 × 7 × 13 × 241 = 657,930. The number is therefore not squarefree, due to the repeated factors 2^8 and 3^2, but it shares these distinct primes with many other integers.

There is no widely known special constant or factorial identity directly associated with 252,645,120. It is typically encountered as an example of a composite number with a mixed prime factorization, illustrating how a single value can be divisible by a range of small and moderately large primes.