49477536 has 72 divisors (see below), whose sum is σ = 141768900. Its totient is φ = 16367616.

The previous prime is 49477523. The next prime is 49477537. The reversal of 49477536 is 63577494.

49477536 is a `hidden beast` number, since 49 + 4 + 77 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49280400 + 197136 = 7020^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 49477491 and 49477500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49477537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42336 + ... + 43488.

Almost surely, 2^49477536 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 49477536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70884450).

49477536 is an abundant number, since it is smaller than the sum of its proper divisors (92291364).

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

49477536 is a wasteful number, since it uses less digits than its factorization.

49477536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1307 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 49477536 is about 7034.0270116058. The cubic root of 49477536 is about 367.1154717362.

The spelling of 49477536 in words is "forty-nine million, four hundred seventy-seven thousand, five hundred thirty-six".