50400

50400 is a natural number that lies between 50399 and 50401. In mathematics, it is a composite number with prime factorization 2^5 × 3^2 × 5^2 × 7. This factorization gives 108 positive divisors, making 50400 a highly composite number, meaning it has more divisors than any smaller positive integer.

The number is divisible by 100 and by 32, 9, 25, and 7, reflecting its factorization as 2^5 · 3^2 · 5^2 · 7. It also has a convenient relation to factorials: 50400 = 7! × 10, since 7! equals 5040.

In terms of time units, 50,400 seconds equal 14 hours, or 840 minutes, illustrating a direct conversion between seconds and hours. This connection to time demonstrates one practical context in which the decimal form of 50400 appears.

Summary observations include its status as a highly composite number, its expression as 7! × 10, and its relevance in time calculations due to the exact second-to-hour relationship. 50400 thus appears in number theory discussions about divisors and in everyday conversions between time units.