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261834049 is a prime number
BaseRepresentation
bin11111001101101…
…00010101000001
3200020200112210101
433212310111001
51014012142144
641552002401
76326360401
oct1746642501
9606615711
10261834049
11124886884
1273830401
1342326cb9
1426aba801
1517ec06d4
hexf9b4541

261834049 has 2 divisors, whose sum is σ = 261834050. Its totient is φ = 261834048.

The previous prime is 261834007. The next prime is 261834061. The reversal of 261834049 is 940438162.

261834049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259854400 + 1979649 = 16120^2 + 1407^2 .

It is a cyclic number.

It is not a de Polignac number, because 261834049 - 211 = 261832001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 261833999 and 261834017.

It is not a weakly prime, because it can be changed into another prime (261831049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130917024 + 130917025.

It is an arithmetic number, because the mean of its divisors is an integer number (130917025).

Almost surely, 2261834049 is an apocalyptic number.

It is an amenable number.

261834049 is a deficient number, since it is larger than the sum of its proper divisors (1).

261834049 is an equidigital number, since it uses as much as digits as its factorization.

261834049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 261834049 is about 16181.2870007302. The cubic root of 261834049 is about 639.7476617520.

The spelling of 261834049 in words is "two hundred sixty-one million, eight hundred thirty-four thousand, forty-nine".