49662144 has 168 divisors, whose sum is σ = 165628320. Its totient is φ = 13934592.

The previous prime is 49662139. The next prime is 49662149. The reversal of 49662144 is 44126694.

It is an interprime number because it is at equal distance from previous prime (49662139) and next prime (49662149).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 49662099 and 49662108.

It is not an unprimeable number, because it can be changed into a prime (49662149) 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, 439432 + ... + 439544.

Almost surely, 2^49662144 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 49662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82814160).

49662144 is an abundant number, since it is smaller than the sum of its proper divisors (115966176).

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

49662144 is a wasteful number, since it uses less digits than its factorization.

49662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 49662144 is about 7047.1372911275. The cubic root of 49662144 is about 367.5714924080.

The spelling of 49662144 in words is "forty-nine million, six hundred sixty-two thousand, one hundred forty-four".