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26116992 = 273411229
BaseRepresentation
bin110001110100…
…0001110000000
31211010212210000
41203220032000
523141220432
62331440000
7434663556
oct143501600
954125700
1026116992
11138190a0
1288b6000
135545755
14367bbd6
15245d57c
hex18e8380

26116992 has 160 divisors (see below), whose sum is σ = 85159800. Its totient is φ = 7879680.

The previous prime is 26116957. The next prime is 26116997. The reversal of 26116992 is 29961162.

It is a super-2 number, since 2×261169922 = 1364194542256128, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26116997) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113934 + ... + 114162.

Almost surely, 226116992 is an apocalyptic number.

26116992 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 26116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42579900).

26116992 is an abundant number, since it is smaller than the sum of its proper divisors (59042808).

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

26116992 is a wasteful number, since it uses less digits than its factorization.

26116992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 26116992 is about 5110.4786468588. The cubic root of 26116992 is about 296.6932860570.

The spelling of 26116992 in words is "twenty-six million, one hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 229 264 288 297 324 352 384 396 432 458 528 576 594 648 687 704 792 864 891 916 1056 1152 1188 1296 1374 1408 1584 1728 1782 1832 2061 2112 2376 2519 2592 2748 3168 3456 3564 3664 4122 4224 4752 5038 5184 5496 6183 6336 7128 7328 7557 8244 9504 10076 10368 10992 12366 12672 14256 14656 15114 16488 18549 19008 20152 21984 22671 24732 28512 29312 30228 32976 37098 38016 40304 43968 45342 49464 57024 60456 65952 68013 74196 80608 87936 90684 98928 114048 120912 131904 136026 148392 161216 181368 197856 204039 241824 263808 272052 296784 322432 362736 395712 408078 483648 544104 593568 725472 791424 816156 967296 1088208 1187136 1450944 1632312 2176416 2374272 2901888 3264624 4352832 6529248 8705664 13058496 26116992