49922000 has 80 divisors (see below), whose sum is σ = 122350800. Its totient is φ = 19699200.

The previous prime is 49921957. The next prime is 49922009. The reversal of 49922000 is 22994.

It can be written as a sum of positive squares in 8 ways, for example, as 2917264 + 47004736 = 1708^2 + 6856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49922009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217886 + ... + 218114.

It is an arithmetic number, because the mean of its divisors is an integer number (1529385).

Almost surely, 2^49922000 is an apocalyptic number.

49922000 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 49922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61175400).

49922000 is an abundant number, since it is smaller than the sum of its proper divisors (72428800).

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

49922000 is a wasteful number, since it uses less digits than its factorization.

49922000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 49922000 is about 7065.5502262740. The cubic root of 49922000 is about 368.2114805235.

Adding to 49922000 its reverse (22994), we get a palindrome (49944994).

The spelling of 49922000 in words is "forty-nine million, nine hundred twenty-two thousand".