49893920 has 48 divisors (see below), whose sum is σ = 121950360. Its totient is φ = 19267584.

The previous prime is 49893887. The next prime is 49893941. The reversal of 49893920 is 2939894.

It can be written as a sum of positive squares in 4 ways, for example, as 48385936 + 1507984 = 6956^2 + 1228^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737 + ... + 10016.

Almost surely, 2^49893920 is an apocalyptic number.

49893920 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 49893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60975180).

49893920 is an abundant number, since it is smaller than the sum of its proper divisors (72056440).

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

49893920 is a wasteful number, since it uses less digits than its factorization.

49893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10797 (or 10789 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 49893920 is about 7063.5628403802. The cubic root of 49893920 is about 368.1424306888.

The spelling of 49893920 in words is "forty-nine million, eight hundred ninety-three thousand, nine hundred twenty".