49738000 has 80 divisors (see below), whose sum is σ = 129585456. Its totient is φ = 18355200.

The previous prime is 49737973. The next prime is 49738001. The reversal of 49738000 is 83794.

It is a happy number.

49738000 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 8 ways, for example, as 15492096 + 34245904 = 3936^2 + 5852^2 .

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 (49738001) 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 15 ways as a sum of consecutive naturals, for example, 25044 + ... + 26956.

Almost surely, 2^49738000 is an apocalyptic number.

49738000 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 49738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64792728).

49738000 is an abundant number, since it is smaller than the sum of its proper divisors (79847456).

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

49738000 is a wasteful number, since it uses less digits than its factorization.

49738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 49738000 is about 7052.5172810848. The cubic root of 49738000 is about 367.7585451382.

The spelling of 49738000 in words is "forty-nine million, seven hundred thirty-eight thousand".