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649374336 = 273213131331
BaseRepresentation
bin100110101101001…
…010101010000000
31200020220122010100
4212231022222000
52312214434321
6144234202400
722043406432
oct4655125200
91606818110
10649374336
11303611606
12161583400
13a46c5290
146235a652
153c022326
hex26b4aa80

649374336 has 192 divisors, whose sum is σ = 2033871840. Its totient is φ = 197683200.

The previous prime is 649374317. The next prime is 649374337. The reversal of 649374336 is 633473946.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 649374291 and 649374300.

It is not an unprimeable number, because it can be changed into a prime (649374337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1961691 + ... + 1962021.

Almost surely, 2649374336 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 649374336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016935920).

649374336 is an abundant number, since it is smaller than the sum of its proper divisors (1384497504).

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

649374336 is a wasteful number, since it uses less digits than its factorization.

649374336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 649374336 is about 25482.8243332642. The cubic root of 649374336 is about 865.9610804122.

The spelling of 649374336 in words is "six hundred forty-nine million, three hundred seventy-four thousand, three hundred thirty-six".