51762942 has 128 divisors (see below), whose sum is σ = 146534400. Its totient is φ = 13154400.

The previous prime is 51762917. The next prime is 51762961. The reversal of 51762942 is 24926715.

It is a junction number, because it is equal to n+sod(n) for n = 51762897 and 51762906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245217 + ... + 245427.

It is an arithmetic number, because the mean of its divisors is an integer number (1144800).

Almost surely, 2^51762942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51762942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73267200).

51762942 is an abundant number, since it is smaller than the sum of its proper divisors (94771458).

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

51762942 is a wasteful number, since it uses less digits than its factorization.

51762942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 51762942 is about 7194.6467599181. The cubic root of 51762942 is about 372.6830582312.

It can be divided in two parts, 5176 and 2942, that added together give a palindrome (8118).

The spelling of 51762942 in words is "fifty-one million, seven hundred sixty-two thousand, nine hundred forty-two".