49216000 has 80 divisors (see below), whose sum is σ = 122882760. Its totient is φ = 19660800.

The previous prime is 49215997. The next prime is 49216009. The reversal of 49216000 is 61294.

49216000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12054784 + 37161216 = 3472^2 + 6096^2 .

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

It is not an unprimeable number, because it can be changed into a prime (49216009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63616 + ... + 64384.

Almost surely, 2^49216000 is an apocalyptic number.

49216000 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 49216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61441380).

49216000 is an abundant number, since it is smaller than the sum of its proper divisors (73666760).

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

49216000 is an frugal number, since it uses more digits than its factorization.

49216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 49216000 is about 7015.4116058860. The cubic root of 49216000 is about 366.4674767509.

Adding to 49216000 its reverse (61294), we get a palindrome (49277294).

The spelling of 49216000 in words is "forty-nine million, two hundred sixteen thousand".