53348352 has 96 divisors (see below), whose sum is σ = 150040800. Its totient is φ = 16809984.

The previous prime is 53348341. The next prime is 53348357. The reversal of 53348352 is 25384335.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53348352² = 5692093322231808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53348357) 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, 116508 + ... + 116964.

It is an arithmetic number, because the mean of its divisors is an integer number (1562925).

Almost surely, 2^53348352 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 53348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75020400).

53348352 is an abundant number, since it is smaller than the sum of its proper divisors (96692448).

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

53348352 is a wasteful number, since it uses less digits than its factorization.

53348352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 53348352 is about 7303.9956188377. The cubic root of 53348352 is about 376.4497410025.

The spelling of 53348352 in words is "fifty-three million, three hundred forty-eight thousand, three hundred fifty-two".