49585536 has 384 divisors, whose sum is σ = 196035840. Its totient is φ = 11612160.

The previous prime is 49585519. The next prime is 49585537. The reversal of 49585536 is 63558594.

49585536 is a `hidden beast` number, since 4 + 95 + 8 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 49585491 and 49585500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49585537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153131 + ... + 1153173.

It is an arithmetic number, because the mean of its divisors is an integer number (510510).

Almost surely, 2^49585536 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 49585536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98017920).

49585536 is an abundant number, since it is smaller than the sum of its proper divisors (146450304).

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

49585536 is a wasteful number, since it uses less digits than its factorization.

49585536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 79 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 49585536 is about 7041.6997947939. The cubic root of 49585536 is about 367.3823919101.

It can be divided in two parts, 49 and 585536, that added together give a palindrome (585585).

The spelling of 49585536 in words is "forty-nine million, five hundred eighty-five thousand, five hundred thirty-six".