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649708416 = 273272331113
BaseRepresentation
bin100110101110011…
…100001110000000
31200021112121101200
4212232130032000
52312311132131
6144245301200
722046300430
oct4656341600
91607477350
10649708416
1130381a605
12161704800
13a47b1366
14624062c0
153c08b2e6
hex26b9c380

649708416 has 384 divisors, whose sum is σ = 2321879040. Its totient is φ = 170311680.

The previous prime is 649708399. The next prime is 649708417. The reversal of 649708416 is 614807946.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649708417) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5749576 + ... + 5749688.

It is an arithmetic number, because the mean of its divisors is an integer number (6046560).

Almost surely, 2649708416 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 649708416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160939520).

649708416 is an abundant number, since it is smaller than the sum of its proper divisors (1672170624).

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

649708416 is a wasteful number, since it uses less digits than its factorization.

649708416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 649708416 is about 25489.3784937962. The cubic root of 649708416 is about 866.1095570120.

The spelling of 649708416 in words is "six hundred forty-nine million, seven hundred eight thousand, four hundred sixteen".