48247200 has 108 divisors (see below), whose sum is σ = 170157078. Its totient is φ = 12864000.

The previous prime is 48247193. The next prime is 48247211. The reversal of 48247200 is 274284.

It can be written as a sum of positive squares in 3 ways, for example, as 33593616 + 14653584 = 5796^2 + 3828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3850 + ... + 10550.

Almost surely, 2^48247200 is an apocalyptic number.

48247200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85078539).

48247200 is an abundant number, since it is smaller than the sum of its proper divisors (121909878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48247200 is a wasteful number, since it uses less digits than its factorization.

48247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 48247200 is about 6946.0204433906. The cubic root of 48247200 is about 364.0469286997.

The spelling of 48247200 in words is "forty-eight million, two hundred forty-seven thousand, two hundred".