Search a number
-
+
26004267 = 33963121
BaseRepresentation
bin110001100110…
…0101100101011
31210221011011000
41203030230223
523124114032
62325210043
7434014122
oct143145453
953834130
1026004267
1113751433
128860923
135506353
14364cab9
152439e7c
hex18ccb2b

26004267 has 8 divisors (see below), whose sum is σ = 38524880. Its totient is φ = 17336160.

The previous prime is 26004263. The next prime is 26004281. The reversal of 26004267 is 76240062.

It is not a de Polignac number, because 26004267 - 22 = 26004263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 963121 = 26004267 / (2 + 6 + 0 + 0 + 4 + 2 + 6 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26004267.

It is not an unprimeable number, because it can be changed into a prime (26004263) 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 7 ways as a sum of consecutive naturals, for example, 481534 + ... + 481587.

It is an arithmetic number, because the mean of its divisors is an integer number (4815610).

Almost surely, 226004267 is an apocalyptic number.

26004267 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

26004267 is a deficient number, since it is larger than the sum of its proper divisors (12520613).

26004267 is an equidigital number, since it uses as much as digits as its factorization.

26004267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963130 (or 963124 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 26004267 is about 5099.4379102015. The cubic root of 26004267 is about 296.2658123270.

The spelling of 26004267 in words is "twenty-six million, four thousand, two hundred sixty-seven".

Divisors: 1 3 9 27 963121 2889363 8668089 26004267