5248800 has 162 divisors, whose sum is σ = 19219473. Its totient is φ = 1399680.

The previous prime is 5248787. The next prime is 5248811. The reversal of 5248800 is 88425.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 104976 = 2268^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1620.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1049758 + ... + 1049762.

Almost surely, 2^5248800 is an apocalyptic number.

5248800 is a gapful number since it is divisible by the number (50) 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 5248800

5248800 is an abundant number, since it is smaller than the sum of its proper divisors (13970673).

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

5248800 is an frugal number, since it uses more digits than its factorization.

5248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5248800 is about 2291.0259710444. The cubic root of 5248800 is about 173.7880892290.

The spelling of 5248800 in words is "five million, two hundred forty-eight thousand, eight hundred".