5243200 has 84 divisors (see below), whose sum is σ = 13464540. Its totient is φ = 2007040.

The previous prime is 5243177. The next prime is 5243201. The reversal of 5243200 is 23425.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 4227136 = 1008^2 + 2056^2 .

It is a super-2 number, since 2×5243200² = 54982292480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5243201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46344 + ... + 46456.

Almost surely, 2^5243200 is an apocalyptic number.

5243200 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 5243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732270).

5243200 is an abundant number, since it is smaller than the sum of its proper divisors (8221340).

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

5243200 is a wasteful number, since it uses less digits than its factorization.

5243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 5243200 is about 2289.8034850179. The cubic root of 5243200 is about 173.7262617881.

Adding to 5243200 its reverse (23425), we get a palindrome (5266625).

The spelling of 5243200 in words is "five million, two hundred forty-three thousand, two hundred".