47822800 has 30 divisors (see below), whose sum is σ = 114895238. Its totient is φ = 19128960.

The previous prime is 47822783. The next prime is 47822809. The reversal of 47822800 is 822874.

It can be written as a sum of positive squares in 3 ways, for example, as 1201216 + 46621584 = 1096^2 + 6828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47822809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59379 + ... + 60178.

Almost surely, 2^47822800 is an apocalyptic number.

47822800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47822800 is an abundant number, since it is smaller than the sum of its proper divisors (67072438).

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

47822800 is a wasteful number, since it uses less digits than its factorization.

47822800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119575 (or 119564 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 47822800 is about 6915.4030974340. The cubic root of 47822800 is about 362.9763535457.

The spelling of 47822800 in words is "forty-seven million, eight hundred twenty-two thousand, eight hundred".