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64568268 = 223223292689
BaseRepresentation
bin1111011001001…
…1101111001100
311111111102000100
43312103233030
5113012141033
610223531100
71412551452
oct366235714
9144442010
1064568268
11334a1106
1219759a90
13104b939b
14880a9d2
155a06513
hex3d93bcc

64568268 has 72 divisors (see below), whose sum is σ = 176248800. Its totient is φ = 19869696.

The previous prime is 64568263. The next prime is 64568269. The reversal of 64568268 is 86286546.

64568268 is a `hidden beast` number, since 64 + 568 + 26 + 8 = 666.

It is a super-2 number, since 2×645682682 = 8338122465039648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64568263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22668 + ... + 25356.

It is an arithmetic number, because the mean of its divisors is an integer number (2447900).

Almost surely, 264568268 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 64568268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88124400).

64568268 is an abundant number, since it is smaller than the sum of its proper divisors (111680532).

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

64568268 is a wasteful number, since it uses less digits than its factorization.

64568268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2746 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 64568268 is about 8035.4382581164. The cubic root of 64568268 is about 401.1804048511.

The spelling of 64568268 in words is "sixty-four million, five hundred sixty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 667 828 1044 1334 2001 2668 2689 4002 5378 6003 8004 8067 10756 12006 16134 24012 24201 32268 48402 61847 77981 96804 123694 155962 185541 233943 247388 311924 371082 467886 556623 701829 742164 935772 1113246 1403658 1793563 2226492 2807316 3587126 5380689 7174252 10761378 16142067 21522756 32284134 64568268