51754416 has 160 divisors (see below), whose sum is σ = 164656128. Its totient is φ = 13685760.

The previous prime is 51754397. The next prime is 51754429. The reversal of 51754416 is 61445715.

51754416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 285846 + ... + 286026.

Almost surely, 2^51754416 is an apocalyptic number.

51754416 is a gapful number since it is divisible by the number (56) 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 51754416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328064).

51754416 is an abundant number, since it is smaller than the sum of its proper divisors (112901712).

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

51754416 is a wasteful number, since it uses less digits than its factorization.

51754416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 51754416 is about 7194.0542116389. The cubic root of 51754416 is about 372.6625952635.

It can be divided in two parts, 5175 and 4416, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 51754416 in words is "fifty-one million, seven hundred fifty-four thousand, four hundred sixteen".