Search a number
-
+
266629888 = 2871941191
BaseRepresentation
bin11111110010001…
…11001100000000
3200120201012110001
433321013030000
51021224124023
642242445344
76415213420
oct1771071400
9616635401
10266629888
11127561a88
1275363854
1343315b85
14275a8480
151861b6ad
hexfe47300

266629888 has 144 divisors (see below), whose sum is σ = 659312640. Its totient is φ = 105062400.

The previous prime is 266629879. The next prime is 266629889. The reversal of 266629888 is 888926662.

It is not an unprimeable number, because it can be changed into a prime (266629889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395873 + ... + 1396063.

It is an arithmetic number, because the mean of its divisors is an integer number (4578560).

Almost surely, 2266629888 is an apocalyptic number.

266629888 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 266629888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329656320).

266629888 is an abundant number, since it is smaller than the sum of its proper divisors (392682752).

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

266629888 is a wasteful number, since it uses less digits than its factorization.

266629888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 55.

The square root of 266629888 is about 16328.8054676391. The cubic root of 266629888 is about 643.6299971997.

The spelling of 266629888 in words is "two hundred sixty-six million, six hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 64 76 82 112 128 133 152 164 191 224 256 266 287 304 328 382 448 532 574 608 656 764 779 896 1064 1148 1216 1312 1337 1528 1558 1792 2128 2296 2432 2624 2674 3056 3116 3629 4256 4592 4864 5248 5348 5453 6112 6232 7258 7831 8512 9184 10496 10696 10906 12224 12464 14516 15662 17024 18368 21392 21812 24448 24928 25403 29032 31324 34048 36736 42784 43624 48896 49856 50806 54817 58064 62648 73472 85568 87248 99712 101612 109634 116128 125296 148789 171136 174496 199424 203224 219268 232256 250592 297578 342272 348992 406448 438536 464512 501184 595156 697984 812896 877072 929024 1002368 1041523 1190312 1395968 1625792 1754144 2004736 2083046 2380624 3251584 3508288 4166092 4761248 6503168 7016576 8332184 9522496 14033152 16664368 19044992 33328736 38089984 66657472 133314944 266629888