Search a number
-
+
42407 is a prime number
BaseRepresentation
bin1010010110100111
32011011122
422112213
52324112
6524155
7234431
oct122647
964148
1042407
1129952
122065b
13163c1
1411651
15c872
hexa5a7

42407 has 2 divisors, whose sum is σ = 42408. Its totient is φ = 42406.

The previous prime is 42403. The next prime is 42409. The reversal of 42407 is 70424.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 42407 - 22 = 42403 is a prime.

Together with 42409, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 45 + 213 + 47 + 0 + 75 .

It is a nialpdrome in base 15.

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 42407.

It is not a weakly prime, because it can be changed into another prime (42403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21203 + 21204.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

242407 is an apocalyptic number.

42407 is a deficient number, since it is larger than the sum of its proper divisors (1).

42407 is an equidigital number, since it uses as much as digits as its factorization.

42407 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 42407 is about 205.9295996208. The cubic root of 42407 is about 34.8721868810.

Adding to 42407 its sum of digits (17), we get a palindrome (42424).

The spelling of 42407 in words is "forty-two thousand, four hundred seven", and thus it is an iban number.