49948416 has 216 divisors, whose sum is σ = 174312320. Its totient is φ = 13436928.

The previous prime is 49948391. The next prime is 49948427. The reversal of 49948416 is 61484994.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 306351 + ... + 306513.

Almost surely, 2^49948416 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 49948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87156160).

49948416 is an abundant number, since it is smaller than the sum of its proper divisors (124363904).

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

49948416 is a wasteful number, since it uses less digits than its factorization.

49948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 49948416 is about 7067.4193309864. The cubic root of 49948416 is about 368.2764148835.

It can be divided in two parts, 499484 and 16, that added together give a triangular number (499500 = T₉₉₉).

The spelling of 49948416 in words is "forty-nine million, nine hundred forty-eight thousand, four hundred sixteen".