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26826228 = 22351113193
BaseRepresentation
bin110011001010…
…1010111110100
31212110220200000
41212111113310
523331414403
62354551300
7444006402
oct146252764
955426600
1026826228
1114162a40
128b98530
135733510
1437c4472
15254d7a3
hex19955f4

26826228 has 144 divisors (see below), whose sum is σ = 83044416. Its totient is φ = 7464960.

The previous prime is 26826209. The next prime is 26826229. The reversal of 26826228 is 82262862.

26826228 is a `hidden beast` number, since 26 + 8 + 2 + 622 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26826192 and 26826201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26826229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138900 + ... + 139092.

Almost surely, 226826228 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 26826228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41522208).

26826228 is an abundant number, since it is smaller than the sum of its proper divisors (56218188).

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

26826228 is a wasteful number, since it uses less digits than its factorization.

26826228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 26826228 is about 5179.4042128415. The cubic root of 26826228 is about 299.3550143053.

The spelling of 26826228 in words is "twenty-six million, eight hundred twenty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 193 198 234 243 286 297 324 351 386 396 429 468 486 572 579 594 702 772 858 891 972 1053 1158 1188 1287 1404 1716 1737 1782 2106 2123 2316 2509 2574 2673 3159 3474 3564 3861 4212 4246 5018 5148 5211 5346 6318 6369 6948 7527 7722 8492 10036 10422 10692 11583 12636 12738 15054 15444 15633 19107 20844 22581 23166 25476 27599 30108 31266 34749 38214 45162 46332 46899 55198 57321 62532 67743 69498 76428 82797 90324 93798 110396 114642 135486 138996 165594 171963 187596 203229 229284 248391 270972 331188 343926 406458 496782 515889 609687 687852 745173 812916 993564 1031778 1219374 1490346 2063556 2235519 2438748 2980692 4471038 6706557 8942076 13413114 26826228