53947296 has 120 divisors (see below), whose sum is σ = 170968644. Its totient is φ = 16588800.

The previous prime is 53947277. The next prime is 53947301. The reversal of 53947296 is 69274935.

It is a happy number.

53947296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 1587600 = 7236^2 + 1260^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32896 + ... + 34496.

Almost surely, 2^53947296 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 53947296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85484322).

53947296 is an abundant number, since it is smaller than the sum of its proper divisors (117021348).

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

53947296 is a wasteful number, since it uses less digits than its factorization.

53947296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1619 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 53947296 is about 7344.8822999419. The cubic root of 53947296 is about 377.8533066466.

The spelling of 53947296 in words is "fifty-three million, nine hundred forty-seven thousand, two hundred ninety-six".