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26268125 = 54135361
BaseRepresentation
bin110010000110…
…1000111011101
31211102120002112
41210031013131
523211040000
62335003405
7436163312
oct144150735
954376075
1026268125
11139116a4
128969565
135599490
1436bad09
15248d235
hex190d1dd

26268125 has 40 divisors (see below), whose sum is σ = 36607032. Its totient is φ = 18720000.

The previous prime is 26268107. The next prime is 26268131. The reversal of 26268125 is 52186262.

It can be written as a sum of positive squares in 20 ways, for example, as 24344356 + 1923769 = 4934^2 + 1387^2 .

It is not a de Polignac number, because 26268125 - 28 = 26267869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26268091 and 26268100.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 430595 + ... + 430655.

Almost surely, 226268125 is an apocalyptic number.

26268125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26268125 is a deficient number, since it is larger than the sum of its proper divisors (10338907).

26268125 is an equidigital number, since it uses as much as digits as its factorization.

26268125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 26268125 is about 5125.2438966356. The cubic root of 26268125 is about 297.2644841773.

The spelling of 26268125 in words is "twenty-six million, two hundred sixty-eight thousand, one hundred twenty-five".

Divisors: 1 5 13 25 53 61 65 125 265 305 325 625 689 793 1325 1525 1625 3233 3445 3965 6625 7625 8125 16165 17225 19825 33125 38125 42029 80825 86125 99125 210145 404125 430625 495625 1050725 2020625 5253625 26268125