51424128 has 144 divisors (see below), whose sum is σ = 172326960. Its totient is φ = 14676480.

The previous prime is 51424123. The next prime is 51424141. The reversal of 51424128 is 82142415.

51424128 is a `hidden beast` number, since 514 + 24 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51424123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55993 + ... + 56903.

It is an arithmetic number, because the mean of its divisors is an integer number (1196715).

Almost surely, 2^51424128 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 51424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86163480).

51424128 is an abundant number, since it is smaller than the sum of its proper divisors (120902832).

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

51424128 is a wasteful number, since it uses less digits than its factorization.

51424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 923 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 51424128 is about 7171.0618460588. The cubic root of 51424128 is about 371.8681461251.

It can be divided in two parts, 514 and 24128, that added together give a palindrome (24642).

The spelling of 51424128 in words is "fifty-one million, four hundred twenty-four thousand, one hundred twenty-eight".