49471632 has 120 divisors (see below), whose sum is σ = 167596416. Its totient is φ = 13298688.

The previous prime is 49471619. The next prime is 49471633. The reversal of 49471632 is 23617494.

49471632 is a `hidden beast` number, since 494 + 7 + 163 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (49471633) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15693 + ... + 18579.

Almost surely, 2^49471632 is an apocalyptic number.

49471632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49471632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83798208).

49471632 is an abundant number, since it is smaller than the sum of its proper divisors (118124784).

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

49471632 is a wasteful number, since it uses less digits than its factorization.

49471632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2916 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 49471632 is about 7033.6073248370. The cubic root of 49471632 is about 367.1008689074.

The spelling of 49471632 in words is "forty-nine million, four hundred seventy-one thousand, six hundred thirty-two".