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64605568 = 27796389
BaseRepresentation
bin1111011001110…
…0110110000000
311111120022011211
43312130312000
5113014334233
610224415504
71413065266
oct366346600
9144508154
1064605568
1133517135
1219777594
1310500361
14881a436
155a125cd
hex3d9cd80

64605568 has 32 divisors (see below), whose sum is σ = 130356000. Its totient is φ = 31888896.

The previous prime is 64605557. The next prime is 64605577. The reversal of 64605568 is 86550646.

64605568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 64605568.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6918 + ... + 13306.

It is an arithmetic number, because the mean of its divisors is an integer number (4073625).

Almost surely, 264605568 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 64605568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65178000).

64605568 is an abundant number, since it is smaller than the sum of its proper divisors (65750432).

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

64605568 is an equidigital number, since it uses as much as digits as its factorization.

64605568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 64605568 is about 8037.7588916314. The cubic root of 64605568 is about 401.2576416993.

The spelling of 64605568 in words is "sixty-four million, six hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 6389 10112 12778 25556 51112 102224 204448 408896 504731 817792 1009462 2018924 4037848 8075696 16151392 32302784 64605568