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64317568 = 277233121
BaseRepresentation
bin1111010101011…
…0100010000000
311111000200010011
43311112202000
5112431130233
610214314304
71410455530
oct365264200
9144020104
1064317568
113333a817
1219658994
131042c243
1487834c0
1559a70cd
hex3d56880

64317568 has 64 divisors (see below), whose sum is σ = 152853120. Its totient is φ = 26357760.

The previous prime is 64317557. The next prime is 64317569. The reversal of 64317568 is 86571346.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 64317568.

It is not an unprimeable number, because it can be changed into a prime (64317569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19048 + ... + 22168.

It is an arithmetic number, because the mean of its divisors is an integer number (2388330).

Almost surely, 264317568 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 64317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76426560).

64317568 is an abundant number, since it is smaller than the sum of its proper divisors (88535552).

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

64317568 is a wasteful number, since it uses less digits than its factorization.

64317568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3153 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 64317568 is about 8019.8234394530. The cubic root of 64317568 is about 400.6605087202.

The spelling of 64317568 in words is "sixty-four million, three hundred seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 3121 5152 6242 10304 12484 20608 21847 24968 43694 49936 71783 87388 99872 143566 174776 199744 287132 349552 399488 502481 574264 699104 1004962 1148528 1398208 2009924 2297056 2796416 4019848 4594112 8039696 9188224 16079392 32158784 64317568