5277344 has 48 divisors (see below), whose sum is σ = 11226600. Its totient is φ = 2433024.

The previous prime is 5277343. The next prime is 5277379. The reversal of 5277344 is 4437725.

It can be written as a sum of positive squares in 4 ways, for example, as 4787344 + 490000 = 2188^2 + 700^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 5 + 2 + 7⁵ + 7⁷ + 3¹¹ + 4⁸ + 4¹¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 5277344.

It is not an unprimeable number, because it can be changed into a prime (5277341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 48362 + ... + 48470.

Almost surely, 2^5277344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5277344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613300).

5277344 is an abundant number, since it is smaller than the sum of its proper divisors (5949256).

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

5277344 is a wasteful number, since it uses less digits than its factorization.

5277344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its digits is 23520, while the sum is 32.

The square root of 5277344 is about 2297.2470480991. The cubic root of 5277344 is about 174.1025510767.

The spelling of 5277344 in words is "five million, two hundred seventy-seven thousand, three hundred forty-four".