49827840 has 104 divisors (see below), whose sum is σ = 159626208. Its totient is φ = 13271040.

The previous prime is 49827839. The next prime is 49827847. The reversal of 49827840 is 4872894.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49827792 and 49827801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49827847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61035 + ... + 61845.

Almost surely, 2^49827840 is an apocalyptic number.

49827840 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 49827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79813104).

49827840 is an abundant number, since it is smaller than the sum of its proper divisors (109798368).

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

49827840 is an equidigital number, since it uses as much as digits as its factorization.

49827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 49827840 is about 7058.8837644489. The cubic root of 49827840 is about 367.9798350639.

The spelling of 49827840 in words is "forty-nine million, eight hundred twenty-seven thousand, eight hundred forty".