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259292041 = 17233717923
BaseRepresentation
bin11110111010001…
…11101110001001
3200001220101210221
433131013232021
51012334321131
641421310041
76265642321
oct1735075611
9601811727
10259292041
111233aaa48
1272a05321
1341946c58
1426618281
1517b6c411
hexf747b89

259292041 has 16 divisors (see below), whose sum is σ = 294240384. Its totient is φ = 227107584.

The previous prime is 259292039. The next prime is 259292051. The reversal of 259292041 is 140292952.

It is a cyclic number.

It is not a de Polignac number, because 259292041 - 21 = 259292039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 259291988 and 259292006.

It is not an unprimeable number, because it can be changed into a prime (259292051) 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, 5506 + ... + 23428.

It is an arithmetic number, because the mean of its divisors is an integer number (18390024).

Almost surely, 2259292041 is an apocalyptic number.

It is an amenable number.

259292041 is a deficient number, since it is larger than the sum of its proper divisors (34948343).

259292041 is a wasteful number, since it uses less digits than its factorization.

259292041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18000.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 259292041 is about 16102.5476555730. The cubic root of 259292041 is about 637.6706018356.

The spelling of 259292041 in words is "two hundred fifty-nine million, two hundred ninety-two thousand, forty-one".

Divisors: 1 17 23 37 391 629 851 14467 17923 304691 412229 663151 7007893 11273567 15252473 259292041