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649216 = 211317
BaseRepresentation
bin10011110100000000000
31012222120001
42132200000
5131233331
621525344
75342521
oct2364000
91188501
10649216
11403847
12273854
13199669
1412c848
15cc561
hex9e800

649216 has 24 divisors (see below), whose sum is σ = 1302210. Its totient is φ = 323584.

The previous prime is 649183. The next prime is 649217. The reversal of 649216 is 612946.

It can be written as a sum of positive squares in only one way, i.e., 640000 + 9216 = 800^2 + 96^2 .

It is not an unprimeable number, because it can be changed into a prime (649217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1890 + ... + 2206.

2649216 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 649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651105).

649216 is an abundant number, since it is smaller than the sum of its proper divisors (652994).

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

649216 is an equidigital number, since it uses as much as digits as its factorization.

649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 649216 is about 805.7394119689. The cubic root of 649216 is about 86.5890692681.

It can be divided in two parts, 64 and 9216, that multiplied together give a square (589824 = 7682).

The spelling of 649216 in words is "six hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 317 512 634 1024 1268 2048 2536 5072 10144 20288 40576 81152 162304 324608 649216