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26223296 = 26111932
BaseRepresentation
bin110010000001…
…0001011000000
31211100021121012
41210002023000
523203121141
62334020052
7435615521
oct144021300
954307535
1026223296
1113890a50
128947628
135581c58
1436a8848
15247eceb
hex19022c0

26223296 has 42 divisors (see below), whose sum is σ = 57063132. Its totient is φ = 11857920.

The previous prime is 26223293. The next prime is 26223349. The reversal of 26223296 is 69232262.

It is a super-2 number, since 2×262232962 = 1375322506207232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (26223293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135776 + ... + 135968.

It is an arithmetic number, because the mean of its divisors is an integer number (1358646).

Almost surely, 226223296 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 26223296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28531566).

26223296 is an abundant number, since it is smaller than the sum of its proper divisors (30839836).

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

26223296 is an equidigital number, since it uses as much as digits as its factorization.

26223296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 206 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 26223296 is about 5120.8686763087. The cubic root of 26223296 is about 297.0952847200.

It can be divided in two parts, 26 and 223296, that added together give a palindrome (223322).

The spelling of 26223296 in words is "twenty-six million, two hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 193 352 386 704 772 1544 2123 3088 4246 6176 8492 12352 16984 33968 37249 67936 74498 135872 148996 297992 409739 595984 819478 1191968 1638956 2383936 3277912 6555824 13111648 26223296