49819920 has 160 divisors (see below), whose sum is σ = 162739584. Its totient is φ = 12595200.

The previous prime is 49819853. The next prime is 49819937. The reversal of 49819920 is 2991894.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600199 + ... + 600281.

Almost surely, 2^49819920 is an apocalyptic number.

49819920 is a gapful number since it is divisible by the number (40) 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 49819920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81369792).

49819920 is an abundant number, since it is smaller than the sum of its proper divisors (112919664).

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

49819920 is a wasteful number, since it uses less digits than its factorization.

49819920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 49819920 is about 7058.3227469421. The cubic root of 49819920 is about 367.9603375654.

The spelling of 49819920 in words is "forty-nine million, eight hundred nineteen thousand, nine hundred twenty".