49881216 has 192 divisors, whose sum is σ = 168838560. Its totient is φ = 12902400.

The previous prime is 49881211. The next prime is 49881229. The reversal of 49881216 is 61218894.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×49881216³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (49881211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206856 + ... + 207096.

Almost surely, 2^49881216 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 49881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84419280).

49881216 is an abundant number, since it is smaller than the sum of its proper divisors (118957344).

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

49881216 is a wasteful number, since it uses less digits than its factorization.

49881216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 49881216 is about 7062.6635202309. The cubic root of 49881216 is about 368.1111825365. Note that the first 4 decimals are identical.

The spelling of 49881216 in words is "forty-nine million, eight hundred eighty-one thousand, two hundred sixteen".