49815948 has 144 divisors (see below), whose sum is σ = 153726720. Its totient is φ = 12446784.

The previous prime is 49815947. The next prime is 49815991. The reversal of 49815948 is 84951894.

It is a junction number, because it is equal to n+sod(n) for n = 49815897 and 49815906.

It is not an unprimeable number, because it can be changed into a prime (49815947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2621883 + ... + 2621901.

Almost surely, 2^49815948 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 49815948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76863360).

49815948 is an abundant number, since it is smaller than the sum of its proper divisors (103910772).

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

49815948 is a wasteful number, since it uses less digits than its factorization.

49815948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 49815948 is about 7058.0413713721. The cubic root of 49815948 is about 367.9505584964.

The spelling of 49815948 in words is "forty-nine million, eight hundred fifteen thousand, nine hundred forty-eight".