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26822241 = 324172689
BaseRepresentation
bin110011001010…
…0011001100001
31212110201012100
41212110121201
523331302431
62354521013
7443661645
oct146243141
955421170
1026822241
111415aa46
128b96169
135731764
1437c2c25
15254c4e6
hex1994661

26822241 has 12 divisors (see below), whose sum is σ = 39688740. Its totient is φ = 17445120.

The previous prime is 26822233. The next prime is 26822251. The reversal of 26822241 is 14222862.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1782225 + 25040016 = 1335^2 + 5004^2 .

It is not a de Polignac number, because 26822241 - 23 = 26822233 is a prime.

It is a super-2 number, since 2×268222412 = 1438865224524162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26822221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35976 + ... + 36713.

It is an arithmetic number, because the mean of its divisors is an integer number (3307395).

Almost surely, 226822241 is an apocalyptic number.

It is an amenable number.

26822241 is a deficient number, since it is larger than the sum of its proper divisors (12866499).

26822241 is a wasteful number, since it uses less digits than its factorization.

26822241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72736 (or 72733 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 26822241 is about 5179.0193087109. The cubic root of 26822241 is about 299.3401832032.

The spelling of 26822241 in words is "twenty-six million, eight hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 9 41 123 369 72689 218067 654201 2980249 8940747 26822241