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26134056 = 23331341227
BaseRepresentation
bin110001110110…
…0011000101000
31211011202012000
41203230120220
523142242211
62332051000
7435064404
oct143543050
954152160
1026134056
111382a9a3
128903a60
135550450
143684104
152463656
hex18ec628

26134056 has 128 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 7810560.

The previous prime is 26134051. The next prime is 26134057. The reversal of 26134056 is 65043162.

26134056 is a `hidden beast` number, since 2 + 613 + 40 + 5 + 6 = 666.

It is a super-2 number, since 2×261340562 = 1365977766022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26134051) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 115015 + ... + 115241.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 226134056 is an apocalyptic number.

26134056 is a gapful number since it is divisible by the number (26) 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 26134056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

26134056 is an abundant number, since it is smaller than the sum of its proper divisors (54304344).

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

26134056 is a wasteful number, since it uses less digits than its factorization.

26134056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 26134056 is about 5112.1478851849. The cubic root of 26134056 is about 296.7578885965.

The spelling of 26134056 in words is "twenty-six million, one hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 41 52 54 72 78 82 104 108 117 123 156 164 216 227 234 246 312 328 351 369 454 468 492 533 681 702 738 908 936 984 1066 1107 1362 1404 1476 1599 1816 2043 2132 2214 2724 2808 2951 2952 3198 4086 4264 4428 4797 5448 5902 6129 6396 8172 8853 8856 9307 9594 11804 12258 12792 14391 16344 17706 18614 19188 23608 24516 26559 27921 28782 35412 37228 38376 49032 53118 55842 57564 70824 74456 79677 83763 106236 111684 115128 120991 159354 167526 212472 223368 241982 251289 318708 335052 362973 483964 502578 637416 670104 725946 967928 1005156 1088919 1451892 2010312 2177838 2903784 3266757 4355676 6533514 8711352 13067028 26134056