Search a number
-
+
385849537 is a prime number
BaseRepresentation
bin10110111111111…
…001100011000001
3222220001012001121
4112333321203001
51242234141122
6102142032241
712363444523
oct2677714301
9886035047
10385849537
11188890517
12a9278681
1361c28848
143935da13
1523d1abc7
hex16ff98c1

385849537 has 2 divisors, whose sum is σ = 385849538. Its totient is φ = 385849536.

The previous prime is 385849523. The next prime is 385849577. The reversal of 385849537 is 735948583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 385768881 + 80656 = 19641^2 + 284^2 .

It is a cyclic number.

It is not a de Polignac number, because 385849537 - 211 = 385847489 is a prime.

It is a super-2 number, since 2×3858495372 = 297759730406228738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (385849517) 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, 192924768 + 192924769.

It is an arithmetic number, because the mean of its divisors is an integer number (192924769).

Almost surely, 2385849537 is an apocalyptic number.

It is an amenable number.

385849537 is a deficient number, since it is larger than the sum of its proper divisors (1).

385849537 is an equidigital number, since it uses as much as digits as its factorization.

385849537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3628800, while the sum is 52.

The square root of 385849537 is about 19643.0531486325. The cubic root of 385849537 is about 728.0133240578.

The spelling of 385849537 in words is "three hundred eighty-five million, eight hundred forty-nine thousand, five hundred thirty-seven".