Search a number
-
+
266479968 = 25331151593
BaseRepresentation
bin11111110001000…
…10100101100000
3200120102120210110
433320202211200
51021204324333
642235331320
76414020346
oct1770424540
9616376713
10266479968
1112746a387
12752b0b40
1343292871
1427569996
15185dc063
hexfe22960

266479968 has 96 divisors (see below), whose sum is σ = 728082432. Its totient is φ = 85248000.

The previous prime is 266479867. The next prime is 266480009. The reversal of 266479968 is 869974662.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 449080 + ... + 449672.

It is an arithmetic number, because the mean of its divisors is an integer number (7584192).

Almost surely, 2266479968 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 266479968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364041216).

266479968 is an abundant number, since it is smaller than the sum of its proper divisors (461602464).

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

266479968 is a wasteful number, since it uses less digits than its factorization.

266479968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The square root of 266479968 is about 16324.2141617905. The cubic root of 266479968 is about 643.5093416838.

The spelling of 266479968 in words is "two hundred sixty-six million, four hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 151 186 248 302 372 453 496 593 604 744 906 992 1186 1208 1488 1779 1812 2372 2416 2976 3558 3624 4681 4744 4832 7116 7248 9362 9488 14043 14232 14496 18383 18724 18976 28086 28464 36766 37448 55149 56172 56928 73532 74896 89543 110298 112344 147064 149792 179086 220596 224688 268629 294128 358172 441192 449376 537258 588256 716344 882384 1074516 1432688 1764768 2149032 2775833 2865376 4298064 5551666 8327499 8596128 11103332 16654998 22206664 33309996 44413328 66619992 88826656 133239984 266479968