51784434 has 80 divisors (see below), whose sum is σ = 127171968. Its totient is φ = 15653088.

The previous prime is 51784433. The next prime is 51784441. The reversal of 51784434 is 43448715.

51784434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51784433) 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 39 ways as a sum of consecutive naturals, for example, 140919 + ... + 141285.

Almost surely, 2^51784434 is an apocalyptic number.

51784434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51784434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63585984).

51784434 is an abundant number, since it is smaller than the sum of its proper divisors (75387534).

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

51784434 is a wasteful number, since it uses less digits than its factorization.

51784434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 452 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 51784434 is about 7196.1402154210. The cubic root of 51784434 is about 372.7346304931.

The spelling of 51784434 in words is "fifty-one million, seven hundred eighty-four thousand, four hundred thirty-four".