49365576 has 72 divisors (see below), whose sum is σ = 144809730. Its totient is φ = 15185664.

The previous prime is 49365551. The next prime is 49365577. The reversal of 49365576 is 67556394.

49365576 is a `hidden beast` number, since 4 + 93 + 6 + 557 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25100100 + 24265476 = 5010^2 + 4926^2 .

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

It is not an unprimeable number, because it can be changed into a prime (49365577) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10140 + ... + 14196.

Almost surely, 2^49365576 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 49365576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72404865).

49365576 is an abundant number, since it is smaller than the sum of its proper divisors (95444154).

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

49365576 is a wasteful number, since it uses less digits than its factorization.

49365576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4075 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 49365576 is about 7026.0640475305. The cubic root of 49365576 is about 366.8383541239.

The spelling of 49365576 in words is "forty-nine million, three hundred sixty-five thousand, five hundred seventy-six".