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649989648 = 243271131261
BaseRepresentation
bin100110101111100…
…000111000010000
31200022001220011200
4212233200320100
52312344132043
6144255311200
722051551360
oct4657407020
91608056150
10649989648
113039a1930
1216181b500
13a487c379
146247a9a0
153c0e47d3
hex26be0e10

649989648 has 360 divisors, whose sum is σ = 2381865408. Its totient is φ = 160704000.

The previous prime is 649989631. The next prime is 649989727. The reversal of 649989648 is 846989946.

649989648 is a `hidden beast` number, since 6 + 499 + 89 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 10655538 + ... + 10655598.

Almost surely, 2649989648 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 649989648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190932704).

649989648 is an abundant number, since it is smaller than the sum of its proper divisors (1731875760).

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

649989648 is a wasteful number, since it uses less digits than its factorization.

649989648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The square root of 649989648 is about 25494.8945477325. The cubic root of 649989648 is about 866.2345066974.

The spelling of 649989648 in words is "six hundred forty-nine million, nine hundred eighty-nine thousand, six hundred forty-eight".