Search a number
-
+
26212872 = 2337374217
BaseRepresentation
bin110001111111…
…1101000001000
31211022202022010
41203333220020
523202302442
62333455520
7435543240
oct143775010
954282263
1026212872
1113884134
1289415a0
13557a29a
1436a4b20
15247bb9c
hex18ffa08

26212872 has 64 divisors (see below), whose sum is σ = 76936320. Its totient is φ = 7285248.

The previous prime is 26212867. The next prime is 26212873. The reversal of 26212872 is 27821262.

It is a super-2 number, since 2×262128722 = 1374229316976768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26212873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4108 + ... + 8324.

It is an arithmetic number, because the mean of its divisors is an integer number (1202130).

Almost surely, 226212872 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 26212872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38468160).

26212872 is an abundant number, since it is smaller than the sum of its proper divisors (50723448).

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

26212872 is a wasteful number, since it uses less digits than its factorization.

26212872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4266 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 26212872 is about 5119.8507790755. The cubic root of 26212872 is about 297.0559134717.

The spelling of 26212872 in words is "twenty-six million, two hundred twelve thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 4217 6216 8434 12651 16868 25302 29519 33736 50604 59038 88557 101208 118076 156029 177114 236152 312058 354228 468087 624116 708456 936174 1092203 1248232 1872348 2184406 3276609 3744696 4368812 6553218 8737624 13106436 26212872