Search a number
-
+
400137293 is a prime number
BaseRepresentation
bin10111110110011…
…001110001001101
31000212221002011202
4113312121301031
51304413343133
6103412155245
712626053013
oct2766316115
91025832152
10400137293
1119595a086
12b2008b25
1364b8bc3a
143b1dc8b3
15251de2e8
hex17d99c4d

400137293 has 2 divisors, whose sum is σ = 400137294. Its totient is φ = 400137292.

The previous prime is 400137271. The next prime is 400137299. The reversal of 400137293 is 392731004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363207364 + 36929929 = 19058^2 + 6077^2 .

It is a cyclic number.

It is not a de Polignac number, because 400137293 - 26 = 400137229 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400137299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200068646 + 200068647.

It is an arithmetic number, because the mean of its divisors is an integer number (200068647).

Almost surely, 2400137293 is an apocalyptic number.

It is an amenable number.

400137293 is a deficient number, since it is larger than the sum of its proper divisors (1).

400137293 is an equidigital number, since it uses as much as digits as its factorization.

400137293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 400137293 is about 20003.4320305292. The cubic root of 400137293 is about 736.8905887080.

Adding to 400137293 its reverse (392731004), we get a palindrome (792868297).

The spelling of 400137293 in words is "four hundred million, one hundred thirty-seven thousand, two hundred ninety-three".