49861760 has 96 divisors (see below), whose sum is σ = 129355380. Its totient is φ = 18370560.

The previous prime is 49861751. The next prime is 49861771. The reversal of 49861760 is 6716894.

It can be written as a sum of positive squares in 6 ways, for example, as 2637376 + 47224384 = 1624^2 + 6872^2 .

It is a super-2 number, since 2×49861760² = 4972390220595200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 107930 + ... + 108390.

Almost surely, 2^49861760 is an apocalyptic number.

49861760 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 49861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64677690).

49861760 is an abundant number, since it is smaller than the sum of its proper divisors (79493620).

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

49861760 is a wasteful number, since it uses less digits than its factorization.

49861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 49861760 is about 7061.2860018555. The cubic root of 49861760 is about 368.0633161377.

The spelling of 49861760 in words is "forty-nine million, eight hundred sixty-one thousand, seven hundred sixty".