51301940 has 48 divisors (see below), whose sum is σ = 110270160. Its totient is φ = 20044800.

The previous prime is 51301927. The next prime is 51301949. The reversal of 51301940 is 4910315.

It is a happy number.

51301940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1373584 + 49928356 = 1172^2 + 7066^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51301949) 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 15 ways as a sum of consecutive naturals, for example, 220064 + ... + 220296.

It is an arithmetic number, because the mean of its divisors is an integer number (2297295).

Almost surely, 2^51301940 is an apocalyptic number.

It is an amenable number.

51301940 is an abundant number, since it is smaller than the sum of its proper divisors (58968220).

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

51301940 is a wasteful number, since it uses less digits than its factorization.

51301940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 51301940 is about 7162.5372599380. The cubic root of 51301940 is about 371.5733826720.

The spelling of 51301940 in words is "fifty-one million, three hundred one thousand, nine hundred forty".