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648809568 = 253311193593
BaseRepresentation
bin100110101011000…
…000110001100000
31200012211221102000
4212223000301200
52312043401233
6144214124000
722035535041
oct4653006140
91605757360
10648809568
11303266260
12161350600
13a45581b4
14622508c8
153be5ed13
hex26ac0c60

648809568 has 192 divisors, whose sum is σ = 2173651200. Its totient is φ = 186209280.

The previous prime is 648809561. The next prime is 648809593. The reversal of 648809568 is 865908846.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648809561) 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 31 ways as a sum of consecutive naturals, for example, 178780 + ... + 182372.

It is an arithmetic number, because the mean of its divisors is an integer number (11321100).

Almost surely, 2648809568 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 648809568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086825600).

648809568 is an abundant number, since it is smaller than the sum of its proper divisors (1524841632).

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

648809568 is a wasteful number, since it uses less digits than its factorization.

648809568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 648809568 is about 25471.7405765684. The cubic root of 648809568 is about 865.7099623070.

The spelling of 648809568 in words is "six hundred forty-eight million, eight hundred nine thousand, five hundred sixty-eight".