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26104249 = 41253293
BaseRepresentation
bin110001110010…
…1000110111001
31211010020022001
41203211012321
523140313444
62331301001
7434611453
oct143450671
954106261
1026104249
111380a566
1288aa761
13553ca02
1436772d3
1524598d4
hex18e51b9

26104249 has 12 divisors (see below), whose sum is σ = 27354348. Its totient is φ = 24901760.

The previous prime is 26104237. The next prime is 26104259. The reversal of 26104249 is 94240162.

It can be written as a sum of positive squares in 6 ways, for example, as 783225 + 25321024 = 885^2 + 5032^2 .

It is not a de Polignac number, because 26104249 - 27 = 26104121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26104229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88947 + ... + 89239.

It is an arithmetic number, because the mean of its divisors is an integer number (2279529).

Almost surely, 226104249 is an apocalyptic number.

It is an amenable number.

26104249 is a deficient number, since it is larger than the sum of its proper divisors (1250099).

26104249 is an equidigital number, since it uses as much as digits as its factorization.

26104249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 26104249 is about 5109.2317426400. The cubic root of 26104249 is about 296.6450240212.

It can be divided in two parts, 2610 and 4249, that added together give a cube (6859 = 193).

The spelling of 26104249 in words is "twenty-six million, one hundred four thousand, two hundred forty-nine".

Divisors: 1 41 53 293 1681 2173 12013 15529 89093 492533 636689 26104249