53248832 has 112 divisors (see below), whose sum is σ = 133819392. Its totient is φ = 20459520.

The previous prime is 53248831. The next prime is 53248889. The reversal of 53248832 is 23884235.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53248792 and 53248801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53248831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238673 + ... + 238895.

It is an arithmetic number, because the mean of its divisors is an integer number (1194816).

Almost surely, 2^53248832 is an apocalyptic number.

53248832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66909696).

53248832 is an abundant number, since it is smaller than the sum of its proper divisors (80570560).

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

53248832 is a wasteful number, since it uses less digits than its factorization.

53248832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 53248832 is about 7297.1797291830. The cubic root of 53248832 is about 376.2155094707.

It can be divided in two parts, 53248 and 832, that multiplied together give a square (44302336 = 6656²).

The spelling of 53248832 in words is "fifty-three million, two hundred forty-eight thousand, eight hundred thirty-two".