Search a number
-
+
26441272 = 23111329797
BaseRepresentation
bin110010011011…
…1011000111000
31211202100121101
41210313120320
523232110042
62342421144
7440514154
oct144673070
954670541
1026441272
1113a1a7a0
128a317b4
13562a230
143724064
1524c46b7
hex1937638

26441272 has 64 divisors (see below), whose sum is σ = 60328800. Its totient is φ = 10698240.

The previous prime is 26441267. The next prime is 26441291. The reversal of 26441272 is 27214462.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 26441272.

It is a congruent number.

It is an unprimeable number.

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, 32778 + ... + 33574.

Almost surely, 226441272 is an apocalyptic number.

26441272 is a gapful number since it is divisible by the number (22) 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 26441272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30164400).

26441272 is an abundant number, since it is smaller than the sum of its proper divisors (33887528).

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

26441272 is a wasteful number, since it uses less digits than its factorization.

26441272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 852 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 26441272 is about 5142.1077390502. The cubic root of 26441272 is about 297.9161964251.

It can be divided in two parts, 2644 and 1272, that added together give a triangular number (3916 = T88).

The spelling of 26441272 in words is "twenty-six million, four hundred forty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 143 232 286 319 377 572 638 754 797 1144 1276 1508 1594 2552 3016 3188 4147 6376 8294 8767 10361 16588 17534 20722 23113 33176 35068 41444 46226 70136 82888 92452 113971 184904 227942 254243 300469 455884 508486 600938 911768 1016972 1201876 2033944 2403752 3305159 6610318 13220636 26441272