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26089728 = 283723211
BaseRepresentation
bin110001110000…
…1100100000000
31211002111101020
41203201210000
523134332403
62331105440
7434521230
oct143414400
954074336
1026089728
11137aa665
1288a2280
135536212
143671cc0
152455453
hex18e1900

26089728 has 144 divisors (see below), whose sum is σ = 83198976. Its totient is φ = 7096320.

The previous prime is 26089711. The next prime is 26089757. The reversal of 26089728 is 82798062.

It is a happy number.

It is a super-2 number, since 2×260897282 = 1361347814227968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 26089728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123543 + ... + 123753.

Almost surely, 226089728 is an apocalyptic number.

26089728 is a gapful number since it is divisible by the number (28) 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 26089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41599488).

26089728 is an abundant number, since it is smaller than the sum of its proper divisors (57109248).

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

26089728 is a wasteful number, since it uses less digits than its factorization.

26089728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 26089728 is about 5107.8104898283. The cubic root of 26089728 is about 296.5900089498.

The spelling of 26089728 in words is "twenty-six million, eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 211 224 256 276 322 336 368 384 422 448 483 552 633 644 672 736 768 844 896 966 1104 1266 1288 1344 1472 1477 1688 1792 1932 2208 2532 2576 2688 2944 2954 3376 3864 4416 4431 4853 5064 5152 5376 5888 5908 6752 7728 8832 8862 9706 10128 10304 11816 13504 14559 15456 17664 17724 19412 20256 20608 23632 27008 29118 30912 33971 35448 38824 40512 41216 47264 54016 58236 61824 67942 70896 77648 81024 94528 101913 116472 123648 135884 141792 155296 162048 189056 203826 232944 271768 283584 310592 378112 407652 465888 543536 567168 621184 815304 931776 1087072 1134336 1242368 1630608 1863552 2174144 3261216 3727104 4348288 6522432 8696576 13044864 26089728