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26238240 = 25325719137
BaseRepresentation
bin110010000010…
…1110100100000
31211101001002200
41210011310200
523204110430
62334213200
7436010220
oct144056440
954331080
1026238240
11138a11a6
128954200
1355889b2
1436b0080
152484460
hex1905d20

26238240 has 288 divisors, whose sum is σ = 108501120. Its totient is φ = 5640192.

The previous prime is 26238211. The next prime is 26238241. The reversal of 26238240 is 4283262.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26238241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191452 + ... + 191588.

It is an arithmetic number, because the mean of its divisors is an integer number (376740).

Almost surely, 226238240 is an apocalyptic number.

26238240 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 26238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54250560).

26238240 is an abundant number, since it is smaller than the sum of its proper divisors (82262880).

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

26238240 is a wasteful number, since it uses less digits than its factorization.

26238240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 26238240 is about 5122.3275959275. The cubic root of 26238240 is about 297.1517097250.

The spelling of 26238240 in words is "twenty-six million, two hundred thirty-eight thousand, two hundred forty".