46766742 has 48 divisors (see below), whose sum is σ = 105648816. Its totient is φ = 13780800.

The previous prime is 46766729. The next prime is 46766743. The reversal of 46766742 is 24766764.

46766742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46766694 and 46766703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46766743) 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 23 ways as a sum of consecutive naturals, for example, 25992 + ... + 27732.

It is an arithmetic number, because the mean of its divisors is an integer number (2201017).

Almost surely, 2^46766742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46766742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52824408).

46766742 is an abundant number, since it is smaller than the sum of its proper divisors (58882074).

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

46766742 is a wasteful number, since it uses less digits than its factorization.

46766742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1794 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 46766742 is about 6838.6213522902. The cubic root of 46766742 is about 360.2846051873.

The spelling of 46766742 in words is "forty-six million, seven hundred sixty-six thousand, seven hundred forty-two".