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26114144 = 257731597
BaseRepresentation
bin110001110011…
…1100001100000
31211010201212112
41203213201200
523141123034
62331414452
7434652350
oct143474140
954121775
1026114144
1113816a41
1288b4428
135544374
14367ab60
15245c7ce
hex18e7860

26114144 has 48 divisors (see below), whose sum is σ = 59599008. Its totient is φ = 11031552.

The previous prime is 26114141. The next prime is 26114149. The reversal of 26114144 is 44141162.

26114144 = T92 + T93 + ... + T539.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26114141) 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 7 ways as a sum of consecutive naturals, for example, 15554 + ... + 17150.

It is an arithmetic number, because the mean of its divisors is an integer number (1241646).

Almost surely, 226114144 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 26114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29799504).

26114144 is an abundant number, since it is smaller than the sum of its proper divisors (33484864).

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

26114144 is a wasteful number, since it uses less digits than its factorization.

26114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1679 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 26114144 is about 5110.1999960863. The cubic root of 26114144 is about 296.6825010836.

The spelling of 26114144 in words is "twenty-six million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 1597 2044 2336 3194 4088 6388 8176 11179 12776 16352 22358 25552 44716 51104 89432 116581 178864 233162 357728 466324 816067 932648 1632134 1865296 3264268 3730592 6528536 13057072 26114144