47826000 has 120 divisors (see below), whose sum is σ = 167103144. Its totient is φ = 12748800.

The previous prime is 47825971. The next prime is 47826001. The reversal of 47826000 is 62874.

It can be written as a sum of positive squares in 4 ways, for example, as 876096 + 46949904 = 936^2 + 6852^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47826001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16672 + ... + 19328.

Almost surely, 2^47826000 is an apocalyptic number.

47826000 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 47826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83551572).

47826000 is an abundant number, since it is smaller than the sum of its proper divisors (119277144).

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

47826000 is a wasteful number, since it uses less digits than its factorization.

47826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 47826000 is about 6915.6344611323. The cubic root of 47826000 is about 362.9844493942.

Adding to 47826000 its reverse (62874), we get a palindrome (47888874).

The spelling of 47826000 in words is "forty-seven million, eight hundred twenty-six thousand".