46693152 has 192 divisors, whose sum is σ = 157852800. Its totient is φ = 13317120.

The previous prime is 46693147. The next prime is 46693183. The reversal of 46693152 is 25139664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38880) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2746648 + ... + 2746664.

It is an arithmetic number, because the mean of its divisors is an integer number (822150).

Almost surely, 2^46693152 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 46693152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78926400).

46693152 is an abundant number, since it is smaller than the sum of its proper divisors (111159648).

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

46693152 is a wasteful number, since it uses less digits than its factorization.

46693152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 33 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 46693152 is about 6833.2387635732. The cubic root of 46693152 is about 360.0955302033.

The spelling of 46693152 in words is "forty-six million, six hundred ninety-three thousand, one hundred fifty-two".