49248576 has 84 divisors (see below), whose sum is σ = 152043892. Its totient is φ = 15151104.

The previous prime is 49248571. The next prime is 49248581. The reversal of 49248576 is 67584294.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49248571) and next prime (49248581).

It can be written as a sum of positive squares in 2 ways, for example, as 31809600 + 17438976 = 5640^2 + 4176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49248571) 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, 4200 + ... + 10776.

Almost surely, 2^49248576 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 49248576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76021946).

49248576 is an abundant number, since it is smaller than the sum of its proper divisors (102795316).

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

49248576 is a wasteful number, since it uses less digits than its factorization.

49248576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6595 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 49248576 is about 7017.7329672765. The cubic root of 49248576 is about 366.5483136845.

The spelling of 49248576 in words is "forty-nine million, two hundred forty-eight thousand, five hundred seventy-six".