52782496 has 48 divisors (see below), whose sum is σ = 112687848. Its totient is φ = 24192000.

The previous prime is 52782481. The next prime is 52782511. The reversal of 52782496 is 69428725.

It is an interprime number because it is at equal distance from previous prime (52782481) and next prime (52782511).

It can be written as a sum of positive squares in 4 ways, for example, as 29550096 + 23232400 = 5436^2 + 4820^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74946 + ... + 75646.

Almost surely, 2^52782496 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 52782496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56343924).

52782496 is an abundant number, since it is smaller than the sum of its proper divisors (59905352).

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

52782496 is a wasteful number, since it uses less digits than its factorization.

52782496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 52782496 is about 7265.1562956347. The cubic root of 52782496 is about 375.1140299149.

The spelling of 52782496 in words is "fifty-two million, seven hundred eighty-two thousand, four hundred ninety-six".