49833216 has 108 divisors (see below), whose sum is σ = 147315168. Its totient is φ = 16192512.

The previous prime is 49833211. The next prime is 49833221. The reversal of 49833216 is 61233894.

It is an interprime number because it is at equal distance from previous prime (49833211) and next prime (49833221).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (49833211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98821 + ... + 99323.

Almost surely, 2^49833216 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 49833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73657584).

49833216 is an abundant number, since it is smaller than the sum of its proper divisors (97481952).

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

49833216 is a wasteful number, since it uses less digits than its factorization.

49833216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 551 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 49833216 is about 7059.2645509288. The cubic root of 49833216 is about 367.9930685525.

The spelling of 49833216 in words is "forty-nine million, eight hundred thirty-three thousand, two hundred sixteen".