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26198144 = 27724177
BaseRepresentation
bin110001111110…
…0000010000000
31211022000002122
41203330002000
523201320034
62333303412
7435452300
oct143740200
954260078
1026198144
1113874065
128934b68
13557367b
14369d600
15247762e
hex18fc080

26198144 has 48 divisors (see below), whose sum is σ = 60727230. Its totient is φ = 11225088.

The previous prime is 26198141. The next prime is 26198171. The reversal of 26198144 is 44189162.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 16711744 + 9486400 = 4088^2 + 3080^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26198141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4184 + ... + 8360.

Almost surely, 226198144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30363615).

26198144 is an abundant number, since it is smaller than the sum of its proper divisors (34529086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26198144 is an equidigital number, since it uses as much as digits as its factorization.

26198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4186 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 26198144 is about 5118.4122538147. The cubic root of 26198144 is about 297.0002683019. Note that the first 3 decimals are identical.

The spelling of 26198144 in words is "twenty-six million, one hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 4177 6272 8354 16708 29239 33416 58478 66832 116956 133664 204673 233912 267328 409346 467824 534656 818692 935648 1637384 1871296 3274768 3742592 6549536 13099072 26198144