46889136 has 120 divisors (see below), whose sum is σ = 151386144. Its totient is φ = 13271040.

The previous prime is 46889123. The next prime is 46889147. The reversal of 46889136 is 63198864.

46889136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46889091 and 46889100.

It is an unprimeable number.

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, 182320 + ... + 182576.

Almost surely, 2^46889136 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 46889136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75693072).

46889136 is an abundant number, since it is smaller than the sum of its proper divisors (104497008).

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

46889136 is a wasteful number, since it uses less digits than its factorization.

46889136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 46889136 is about 6847.5642384720. The cubic root of 46889136 is about 360.5986336273.

It can be divided in two parts, 4688 and 9136, that added together give a cube (13824 = 24³).

The spelling of 46889136 in words is "forty-six million, eight hundred eighty-nine thousand, one hundred thirty-six".