Search a number
-
+
256842937 = 13293718413
BaseRepresentation
bin11110100111100…
…01110010111001
3122220021222021101
433103301302321
51011222433222
641253011401
76236062141
oct1723616271
9586258241
10256842937
11121a8799a
1272023b61
134129a290
142617b921
1517836927
hexf4f1cb9

256842937 has 16 divisors (see below), whose sum is σ = 293887440. Its totient is φ = 222711552.

The previous prime is 256842917. The next prime is 256843003. The reversal of 256842937 is 739248652.

It can be written as a sum of positive squares in 8 ways, for example, as 1610361 + 255232576 = 1269^2 + 15976^2 .

It is a cyclic number.

It is not a de Polignac number, because 256842937 - 27 = 256842809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256842917) 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 in 15 ways as a sum of consecutive naturals, for example, 4743 + ... + 23155.

It is an arithmetic number, because the mean of its divisors is an integer number (18367965).

Almost surely, 2256842937 is an apocalyptic number.

It is an amenable number.

256842937 is a deficient number, since it is larger than the sum of its proper divisors (37044503).

256842937 is a wasteful number, since it uses less digits than its factorization.

256842937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18492.

The product of its digits is 725760, while the sum is 46.

The square root of 256842937 is about 16026.3201328315. The cubic root of 256842937 is about 635.6565734540.

The spelling of 256842937 in words is "two hundred fifty-six million, eight hundred forty-two thousand, nine hundred thirty-seven".

Divisors: 1 13 29 37 377 481 1073 13949 18413 239369 533977 681281 6941701 8856653 19757149 256842937