52963296 has 144 divisors (see below), whose sum is σ = 155965824. Its totient is φ = 15702016.

The previous prime is 52963291. The next prime is 52963301. The reversal of 52963296 is 69236925.

It is an interprime number because it is at equal distance from previous prime (52963291) and next prime (52963301).

It is a super-2 number, since 2×52963296² = 5610221446367232, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52963291) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 638071 + ... + 638153.

It is an arithmetic number, because the mean of its divisors is an integer number (1083096).

Almost surely, 2^52963296 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 52963296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77982912).

52963296 is an abundant number, since it is smaller than the sum of its proper divisors (103002528).

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

52963296 is a wasteful number, since it uses less digits than its factorization.

52963296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 52963296 is about 7277.5886116213. The cubic root of 52963296 is about 375.5418442579.

The spelling of 52963296 in words is "fifty-two million, nine hundred sixty-three thousand, two hundred ninety-six".