51947406 has 80 divisors (see below), whose sum is σ = 140088960. Its totient is φ = 14055120.

The previous prime is 51947383. The next prime is 51947407. The reversal of 51947406 is 60474915.

51947406 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 not an unprimeable number, because it can be changed into a prime (51947407) 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, 20341 + ... + 22751.

It is an arithmetic number, because the mean of its divisors is an integer number (1751112).

Almost surely, 2^51947406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51947406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70044480).

51947406 is an abundant number, since it is smaller than the sum of its proper divisors (88141554).

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

51947406 is a wasteful number, since it uses less digits than its factorization.

51947406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2442 counting only the distinct ones).

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

The square root of 51947406 is about 7207.4548905977. The cubic root of 51947406 is about 373.1252349687.

The spelling of 51947406 in words is "fifty-one million, nine hundred forty-seven thousand, four hundred six".