Search a number
-
+
442007 is a prime number
BaseRepresentation
bin1101011111010010111
3211110022122
41223322113
5103121012
613250155
73520436
oct1537227
9743278
10442007
112820a5
1219395b
13126257
14b711d
158ae72
hex6be97

442007 has 2 divisors, whose sum is σ = 442008. Its totient is φ = 442006.

The previous prime is 442003. The next prime is 442009. The reversal of 442007 is 700244.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 442007 - 22 = 442003 is a prime.

Together with 442009, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442007.

It is not a weakly prime, because it can be changed into another prime (442003) 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, 221003 + 221004.

It is an arithmetic number, because the mean of its divisors is an integer number (221004).

2442007 is an apocalyptic number.

442007 is a deficient number, since it is larger than the sum of its proper divisors (1).

442007 is an equidigital number, since it uses as much as digits as its factorization.

442007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 442007 is about 664.8360700203. The cubic root of 442007 is about 76.1745181546.

The spelling of 442007 in words is "four hundred forty-two thousand, seven", and thus it is an iban number.