53834352 has 240 divisors, whose sum is σ = 177321984. Its totient is φ = 13939200.

The previous prime is 53834351. The next prime is 53834413. The reversal of 53834352 is 25343835.

53834352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (43200) is a multiple of the sum of its prime factors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53834351) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1736577 + ... + 1736607.

Almost surely, 2^53834352 is an apocalyptic number.

53834352 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 53834352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88660992).

53834352 is an abundant number, since it is smaller than the sum of its proper divisors (123487632).

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

53834352 is a wasteful number, since it uses less digits than its factorization.

53834352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

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

The square root of 53834352 is about 7337.1896527213. The cubic root of 53834352 is about 377.5894313211.

The spelling of 53834352 in words is "fifty-three million, eight hundred thirty-four thousand, three hundred fifty-two".