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26934768 = 243472969
BaseRepresentation
bin110011010111…
…1110111110000
31212200102120000
41212233313300
523343403033
62401150000
7444641010
oct146576760
955612500
1026934768
1114227543
12902b300
135770a43
143811c40
152570a13
hex19afdf0

26934768 has 100 divisors (see below), whose sum is σ = 89123760. Its totient is φ = 7693056.

The previous prime is 26934757. The next prime is 26934797. The reversal of 26934768 is 86743962.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7588 + ... + 10556.

Almost surely, 226934768 is an apocalyptic number.

26934768 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 26934768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44561880).

26934768 is an abundant number, since it is smaller than the sum of its proper divisors (62188992).

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

26934768 is a wasteful number, since it uses less digits than its factorization.

26934768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2981 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 26934768 is about 5189.8716747141. The cubic root of 26934768 is about 299.7582051699.

The spelling of 26934768 in words is "twenty-six million, nine hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 2969 3024 4536 5938 8907 9072 11876 17814 20783 23752 26721 35628 41566 47504 53442 62349 71256 80163 83132 106884 124698 142512 160326 166264 187047 213768 240489 249396 320652 332528 374094 427536 480978 498792 561141 641304 748188 961956 997584 1122282 1282608 1496376 1683423 1923912 2244564 2992752 3366846 3847824 4489128 6733692 8978256 13467384 26934768