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3568681248 = 253113479739
BaseRepresentation
bin1101010010110101…
…1100000100100000
3100012201002210100120
43110231130010200
524302040244443
61350041120240
7154302201336
oct32455340440
910181083316
103568681248
111571478050
12837189080
1344b465b12
1425bd59b56
1515d477083
hexd4b5c120

3568681248 has 96 divisors (see below), whose sum is σ = 10249908480. Its totient is φ = 1078191360.

The previous prime is 3568681243. The next prime is 3568681261. The reversal of 3568681248 is 8421868653.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3568681248.

It is not an unprimeable number, because it can be changed into a prime (3568681243) 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, 361563 + ... + 371301.

It is an arithmetic number, because the mean of its divisors is an integer number (106769880).

Almost surely, 23568681248 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 3568681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124954240).

3568681248 is an abundant number, since it is smaller than the sum of its proper divisors (6681227232).

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

3568681248 is a wasteful number, since it uses less digits than its factorization.

3568681248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110 (or 10102 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The square root of 3568681248 is about 59738.4402876406. The cubic root of 3568681248 is about 1528.1614962298.

The spelling of 3568681248 in words is "three billion, five hundred sixty-eight million, six hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 347 352 528 694 1041 1056 1388 2082 2776 3817 4164 5552 7634 8328 9739 11104 11451 15268 16656 19478 22902 29217 30536 33312 38956 45804 58434 61072 77912 91608 107129 116868 122144 155824 183216 214258 233736 311648 321387 366432 428516 467472 642774 857032 934944 1285548 1714064 2571096 3379433 3428128 5142192 6758866 10138299 10284384 13517732 20276598 27035464 37173763 40553196 54070928 74347526 81106392 108141856 111521289 148695052 162212784 223042578 297390104 324425568 446085156 594780208 892170312 1189560416 1784340624 3568681248