49986144 has 144 divisors (see below), whose sum is σ = 155937600. Its totient is φ = 15185664.

The previous prime is 49986127. The next prime is 49986151. The reversal of 49986144 is 44168994.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×49986144² = 4997229183977472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49986144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632697 + ... + 632775.

It is an arithmetic number, because the mean of its divisors is an integer number (1082900).

Almost surely, 2^49986144 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 49986144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77968800).

49986144 is an abundant number, since it is smaller than the sum of its proper divisors (105951456).

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

49986144 is a wasteful number, since it uses less digits than its factorization.

49986144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 97 counting only the distinct ones).

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

The square root of 49986144 is about 7070.0879768218. The cubic root of 49986144 is about 368.3691160931.

The spelling of 49986144 in words is "forty-nine million, nine hundred eighty-six thousand, one hundred forty-four".