49629636 has 72 divisors (see below), whose sum is σ = 148022784. Its totient is φ = 13720320.

The previous prime is 49629599. The next prime is 49629637. The reversal of 49629636 is 63692694.

49629636 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 9 + 636 = 666.

49629636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 49629591 and 49629600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49629637) 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, 4636 + ... + 10988.

It is an arithmetic number, because the mean of its divisors is an integer number (2055872).

Almost surely, 2^49629636 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 49629636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74011392).

49629636 is an abundant number, since it is smaller than the sum of its proper divisors (98393148).

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

49629636 is a wasteful number, since it uses less digits than its factorization.

49629636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6396 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 49629636 is about 7044.8304450852. The cubic root of 49629636 is about 367.4912728734.

The spelling of 49629636 in words is "forty-nine million, six hundred twenty-nine thousand, six hundred thirty-six".