Search a number
-
+
498093137 is a prime number
BaseRepresentation
bin11101101100000…
…100110001010001
31021201020202022222
4131230010301101
52010002440022
6121231510425
715225502403
oct3554046121
91251222288
10498093137
11236184823
1211a988415
137c268189
144a21ab73
152dadd242
hex1db04c51

498093137 has 2 divisors, whose sum is σ = 498093138. Its totient is φ = 498093136.

The previous prime is 498093109. The next prime is 498093139. The reversal of 498093137 is 731390894.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 452880961 + 45212176 = 21281^2 + 6724^2 .

It is a cyclic number.

It is not a de Polignac number, because 498093137 - 212 = 498089041 is a prime.

Together with 498093139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (498093139) 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, 249046568 + 249046569.

It is an arithmetic number, because the mean of its divisors is an integer number (249046569).

Almost surely, 2498093137 is an apocalyptic number.

It is an amenable number.

498093137 is a deficient number, since it is larger than the sum of its proper divisors (1).

498093137 is an equidigital number, since it uses as much as digits as its factorization.

498093137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 498093137 is about 22318.0002912447. Note that the first 3 decimals coincide. The cubic root of 498093137 is about 792.6902551508.

The spelling of 498093137 in words is "four hundred ninety-eight million, ninety-three thousand, one hundred thirty-seven".