52114800 has 120 divisors (see below), whose sum is σ = 168690096. Its totient is φ = 13752320.

The previous prime is 52114793. The next prime is 52114823. The reversal of 52114800 is 841125.

52114800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 164242 + ... + 164558.

Almost surely, 2^52114800 is an apocalyptic number.

52114800 is a gapful number since it is divisible by the number (50) 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 52114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84345048).

52114800 is an abundant number, since it is smaller than the sum of its proper divisors (116575296).

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

52114800 is a wasteful number, since it uses less digits than its factorization.

52114800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 52114800 is about 7219.0581103077. The cubic root of 52114800 is about 373.5255883360.

Adding to 52114800 its reverse (841125), we get a palindrome (52955925).

It can be divided in two parts, 5211 and 4800, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 52114800 in words is "fifty-two million, one hundred fourteen thousand, eight hundred".