49148960 has 72 divisors (see below), whose sum is σ = 135093420. Its totient is φ = 16848384.

The previous prime is 49148959. The next prime is 49148963. The reversal of 49148960 is 6984194.

49148960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47831056 + 1317904 = 6916^2 + 1148^2 .

It is not an unprimeable number, because it can be changed into a prime (49148963) 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 11 ways as a sum of consecutive naturals, for example, 4706 + ... + 10974.

Almost surely, 2^49148960 is an apocalyptic number.

49148960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67546710).

49148960 is an abundant number, since it is smaller than the sum of its proper divisors (85944460).

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

49148960 is a wasteful number, since it uses less digits than its factorization.

49148960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 49148960 is about 7010.6319258680. The cubic root of 49148960 is about 366.3010055271.

The spelling of 49148960 in words is "forty-nine million, one hundred forty-eight thousand, nine hundred sixty".