52781400 has 288 divisors, whose sum is σ = 208915200. Its totient is φ = 11692800.

The previous prime is 52781387. The next prime is 52781419. The reversal of 52781400 is 418725.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 743365 + ... + 743435.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 2^52781400 is an apocalyptic number.

52781400 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 52781400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

52781400 is an abundant number, since it is smaller than the sum of its proper divisors (156133800).

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

52781400 is a wasteful number, since it uses less digits than its factorization.

52781400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 52781400 is about 7265.0808667213. The cubic root of 52781400 is about 375.1114335502. Note that the first 3 decimals are identical.

The spelling of 52781400 in words is "fifty-two million, seven hundred eighty-one thousand, four hundred".