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64568064 = 283117643
BaseRepresentation
bin1111011001001…
…1101100000000
311111111101201210
43312103230000
5113012134224
610223530120
71412551041
oct366235400
9144441653
1064568064
11334a0a40
1219759940
13104b9272
14880a8c8
155a06429
hex3d93b00

64568064 has 72 divisors (see below), whose sum is σ = 187492032. Its totient is φ = 19563520.

The previous prime is 64568041. The next prime is 64568081. The reversal of 64568064 is 46086546.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4627 + ... + 12269.

It is an arithmetic number, because the mean of its divisors is an integer number (2604056).

Almost surely, 264568064 is an apocalyptic number.

64568064 is a gapful number since it is divisible by the number (64) 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 64568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93746016).

64568064 is an abundant number, since it is smaller than the sum of its proper divisors (122923968).

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

64568064 is a wasteful number, since it uses less digits than its factorization.

64568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 64568064 is about 8035.4255643370. The cubic root of 64568064 is about 401.1799823480.

The spelling of 64568064 in words is "sixty-four million, five hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 7643 8448 15286 22929 30572 45858 61144 84073 91716 122288 168146 183432 244576 252219 336292 366864 489152 504438 672584 733728 978304 1008876 1345168 1467456 1956608 2017752 2690336 2934912 4035504 5380672 5869824 8071008 10761344 16142016 21522688 32284032 64568064