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47000873 is a prime number
BaseRepresentation
bin1011001101001…
…0110100101001
310021102220002002
42303102310221
544013011443
64355220345
71110333533
oct263226451
9107386062
1047000873
11245924a7
12138a76b5
13997828a
146356853
1541d62b8
hex2cd2d29

47000873 has 2 divisors, whose sum is σ = 47000874. Its totient is φ = 47000872.

The previous prime is 47000843. The next prime is 47000879. The reversal of 47000873 is 37800074.

47000873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46403344 + 597529 = 6812^2 + 773^2 .

It is a cyclic number.

It is not a de Polignac number, because 47000873 - 212 = 46996777 is a prime.

It is equal to p2831753 and since 47000873 and 2831753 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (47000879) 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 as a sum of consecutive naturals, namely, 23500436 + 23500437.

It is an arithmetic number, because the mean of its divisors is an integer number (23500437).

Almost surely, 247000873 is an apocalyptic number.

It is an amenable number.

47000873 is a deficient number, since it is larger than the sum of its proper divisors (1).

47000873 is an equidigital number, since it uses as much as digits as its factorization.

47000873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 47000873 is about 6855.7182701742. The cubic root of 47000873 is about 360.8848424009.

The spelling of 47000873 in words is "forty-seven million, eight hundred seventy-three", and thus it is an aban number.