51842784 has 144 divisors (see below), whose sum is σ = 161336448. Its totient is φ = 14531328.

The previous prime is 51842771. The next prime is 51842801. The reversal of 51842784 is 48724815.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484459 + ... + 484565.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 2^51842784 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 51842784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

51842784 is an abundant number, since it is smaller than the sum of its proper divisors (109493664).

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

51842784 is a wasteful number, since it uses less digits than its factorization.

51842784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 51842784 is about 7200.1933307377. The cubic root of 51842784 is about 372.8745753907.

The spelling of 51842784 in words is "fifty-one million, eight hundred forty-two thousand, seven hundred eighty-four".