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26438240 = 255373443
BaseRepresentation
bin110010011011…
…0101001100000
31211202012110002
41210312221200
523232010430
62342355132
7440502263
oct144665140
954665402
1026438240
1113a18494
128a2baa8
135628a3a
143722cda
1524c3845
hex1936a60

26438240 has 48 divisors (see below), whose sum is σ = 62769168. Its totient is φ = 10523136.

The previous prime is 26438233. The next prime is 26438261. The reversal of 26438240 is 4283462.

It is a congruent number.

It is an unprimeable number.

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, 59459 + ... + 59901.

It is an arithmetic number, because the mean of its divisors is an integer number (1307691).

Almost surely, 226438240 is an apocalyptic number.

26438240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31384584).

26438240 is an abundant number, since it is smaller than the sum of its proper divisors (36330928).

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

26438240 is a wasteful number, since it uses less digits than its factorization.

26438240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 26438240 is about 5141.8129098597. The cubic root of 26438240 is about 297.9048087173.

The spelling of 26438240 in words is "twenty-six million, four hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 373 443 746 886 1492 1772 1865 2215 2984 3544 3730 4430 5968 7088 7460 8860 11936 14176 14920 17720 29840 35440 59680 70880 165239 330478 660956 826195 1321912 1652390 2643824 3304780 5287648 6609560 13219120 26438240