49893760 has 192 divisors, whose sum is σ = 145815120. Its totient is φ = 16257024.

The previous prime is 49893757. The next prime is 49893773. The reversal of 49893760 is 6739894.

It is a self number, because there is not a number n which added to its sum of digits gives 49893760.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1160299 + ... + 1160341.

Almost surely, 2^49893760 is an apocalyptic number.

49893760 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 49893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72907560).

49893760 is an abundant number, since it is smaller than the sum of its proper divisors (95921360).

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

49893760 is a wasteful number, since it uses less digits than its factorization.

49893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 49893760 is about 7063.5515146419. The cubic root of 49893760 is about 368.1420371683.

It can be divided in two parts, 49893 and 760, that added together give a cube (50653 = 37³).

The spelling of 49893760 in words is "forty-nine million, eight hundred ninety-three thousand, seven hundred sixty".