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568007968 = 25118918131
BaseRepresentation
bin100001110110110…
…001110100100000
31110120210210110011
4201312301310200
52130402223333
6132210214304
720034662623
oct4166616440
91416723404
10568007968
11271697880
1213a284394
13908a6cb8
1455619dba
1534ced9cd
hex21db1d20

568007968 has 48 divisors (see below), whose sum is σ = 1233701280. Its totient is φ = 255270400.

The previous prime is 568007953. The next prime is 568007969. The reversal of 568007968 is 869700865.

It is a super-2 number, since 2×5680079682 = 645266103422978048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (568007969) 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 7 ways as a sum of consecutive naturals, for example, 22263 + ... + 40393.

It is an arithmetic number, because the mean of its divisors is an integer number (25702110).

Almost surely, 2568007968 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 568007968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616850640).

568007968 is an abundant number, since it is smaller than the sum of its proper divisors (665693312).

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

568007968 is a wasteful number, since it uses less digits than its factorization.

568007968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18241 (or 18233 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 568007968 is about 23832.9177399663. The cubic root of 568007968 is about 828.1674224059.

The spelling of 568007968 in words is "five hundred sixty-eight million, seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 352 356 712 979 1424 1958 2848 3916 7832 15664 18131 31328 36262 72524 145048 199441 290096 398882 580192 797764 1595528 1613659 3191056 3227318 6382112 6454636 12909272 17750249 25818544 35500498 51637088 71000996 142001992 284003984 568007968