Search a number
-
+
385115257 is a prime number
BaseRepresentation
bin10110111101000…
…110010001111001
3222211122212211001
4112331012101321
51242042142012
6102114205001
712354266002
oct2675062171
9884585731
10385115257
1118842987a
12a8b83761
1361a2c567
143920c1a9
1523c23357
hex16f46479

385115257 has 2 divisors, whose sum is σ = 385115258. Its totient is φ = 385115256.

The previous prime is 385115233. The next prime is 385115287. The reversal of 385115257 is 752511583.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 340439401 + 44675856 = 18451^2 + 6684^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-385115257 is a prime.

It is a super-2 number, since 2×3851152572 = 296627522348352098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (385115287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192557628 + 192557629.

It is an arithmetic number, because the mean of its divisors is an integer number (192557629).

Almost surely, 2385115257 is an apocalyptic number.

It is an amenable number.

385115257 is a deficient number, since it is larger than the sum of its proper divisors (1).

385115257 is an equidigital number, since it uses as much as digits as its factorization.

385115257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42000, while the sum is 37.

The square root of 385115257 is about 19624.3536708856. The cubic root of 385115257 is about 727.5512224457.

The spelling of 385115257 in words is "three hundred eighty-five million, one hundred fifteen thousand, two hundred fifty-seven".