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266491296 = 253543797
BaseRepresentation
bin11111110001001…
…01010110100000
3200120110011100000
433320211112200
51021210210141
642235500000
76414065361
oct1770452640
9616404300
10266491296
11127477945
12752b7600
1343297a76
142756db68
15185e05b6
hexfe255a0

266491296 has 144 divisors (see below), whose sum is σ = 805188384. Its totient is φ = 86655744.

The previous prime is 266491273. The next prime is 266491297. The reversal of 266491296 is 692194662.

266491296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2664912962 = 142035221687519232, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (266491297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333970 + ... + 334766.

It is an arithmetic number, because the mean of its divisors is an integer number (5591586).

Almost surely, 2266491296 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 266491296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402594192).

266491296 is an abundant number, since it is smaller than the sum of its proper divisors (538697088).

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

266491296 is an equidigital number, since it uses as much as digits as its factorization.

266491296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 845 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 266491296 is about 16324.5611273320. The cubic root of 266491296 is about 643.5184600309.

The spelling of 266491296 in words is "two hundred sixty-six million, four hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 243 258 288 324 344 387 432 486 516 648 688 774 797 864 972 1032 1161 1296 1376 1548 1594 1944 2064 2322 2391 2592 3096 3188 3483 3888 4128 4644 4782 6192 6376 6966 7173 7776 9288 9564 10449 12384 12752 13932 14346 18576 19128 20898 21519 25504 27864 28692 34271 37152 38256 41796 43038 55728 57384 64557 68542 76512 83592 86076 102813 111456 114768 129114 137084 167184 172152 193671 205626 229536 258228 274168 308439 334368 344304 387342 411252 516456 548336 616878 688608 774684 822504 925317 1032912 1096672 1233756 1549368 1645008 1850634 2065824 2467512 2775951 3098736 3290016 3701268 4935024 5551902 6197472 7402536 8327853 9870048 11103804 14805072 16655706 22207608 29610144 33311412 44415216 66622824 88830432 133245648 266491296