49743792 has 120 divisors (see below), whose sum is σ = 161909280. Its totient is φ = 13962240.

The previous prime is 49743781. The next prime is 49743797. The reversal of 49743792 is 29734794.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (381024) is a multiple of the sum of its prime divisors (882).

It is not an unprimeable number, because it can be changed into a prime (49743797) 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, 61084 + ... + 61892.

It is an arithmetic number, because the mean of its divisors is an integer number (1349244).

Almost surely, 2^49743792 is an apocalyptic number.

49743792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49743792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80954640).

49743792 is an abundant number, since it is smaller than the sum of its proper divisors (112165488).

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

49743792 is a wasteful number, since it uses less digits than its factorization.

49743792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 882 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 49743792 is about 7052.9279026515. The cubic root of 49743792 is about 367.7728197694.

The spelling of 49743792 in words is "forty-nine million, seven hundred forty-three thousand, seven hundred ninety-two".