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26261216 = 2523311151
BaseRepresentation
bin110010000101…
…1011011100000
31211102012121122
41210023123200
523210324331
62334511412
7436134212
oct144133340
954365548
1026261216
1113907493
128965568
1355962a7
1436b85b2
15248b17b
hex190b6e0

26261216 has 48 divisors (see below), whose sum is σ = 55738368. Its totient is φ = 12144000.

The previous prime is 26261201. The next prime is 26261273. The reversal of 26261216 is 61216262.

It is a super-3 number, since 3×262612163 (a number of 23 digits) contains 333 as substring.

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, 22241 + ... + 23391.

It is an arithmetic number, because the mean of its divisors is an integer number (1161216).

Almost surely, 226261216 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 26261216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869184).

26261216 is an abundant number, since it is smaller than the sum of its proper divisors (29477152).

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

26261216 is a wasteful number, since it uses less digits than its factorization.

26261216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1207 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 26261216 is about 5124.5698356057. The cubic root of 26261216 is about 297.2384198831.

Adding to 26261216 its reverse (61216262), we get a palindrome (87477478).

The spelling of 26261216 in words is "twenty-six million, two hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 992 1151 1426 2302 2852 4604 5704 9208 11408 18416 22816 26473 35681 36832 52946 71362 105892 142724 211784 285448 423568 570896 820663 847136 1141792 1641326 3282652 6565304 13130608 26261216