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266808096 = 25322347857
BaseRepresentation
bin11111110011100…
…10101100100000
3200121001020220100
433321302230200
51021300324341
642250342400
76416555112
oct1771625440
9617036810
10266808096
11127673965
127542aa00
1343379019
14276133b2
15186543b6
hexfe72b20

266808096 has 144 divisors (see below), whose sum is σ = 809512704. Its totient is φ = 83162112.

The previous prime is 266808079. The next prime is 266808107. The reversal of 266808096 is 690808662.

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

It is a super-2 number, since 2×2668080962 = 142373120182290432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310900 + ... + 311756.

It is an arithmetic number, because the mean of its divisors is an integer number (5621616).

Almost surely, 2266808096 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 266808096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404756352).

266808096 is an abundant number, since it is smaller than the sum of its proper divisors (542704608).

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

266808096 is a wasteful number, since it uses less digits than its factorization.

266808096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 266808096 is about 16334.2614158094. The cubic root of 266808096 is about 643.7733600597.

The spelling of 266808096 in words is "two hundred sixty-six million, eight hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 47 48 69 72 92 94 96 138 141 144 184 188 207 276 282 288 368 376 414 423 552 564 736 752 828 846 857 1081 1104 1128 1504 1656 1692 1714 2162 2208 2256 2571 3243 3312 3384 3428 4324 4512 5142 6486 6624 6768 6856 7713 8648 9729 10284 12972 13536 13712 15426 17296 19458 19711 20568 25944 27424 30852 34592 38916 39422 40279 41136 51888 59133 61704 77832 78844 80558 82272 103776 118266 120837 123408 155664 157688 161116 177399 236532 241674 246816 311328 315376 322232 354798 362511 473064 483348 630752 644464 709596 725022 926417 946128 966696 1288928 1419192 1450044 1852834 1892256 1933392 2779251 2838384 2900088 3705668 3866784 5558502 5676768 5800176 7411336 8337753 11117004 11600352 14822672 16675506 22234008 29645344 33351012 44468016 66702024 88936032 133404048 266808096