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649332 = 2232171061
BaseRepresentation
bin10011110100001110100
31012222201100
42132201310
5131234312
621530100
75343045
oct2364164
91188640
10649332
11403942
12273930
13199728
1412c8cc
15cc5dc
hex9e874

649332 has 36 divisors (see below), whose sum is σ = 1739556. Its totient is φ = 203520.

The previous prime is 649321. The next prime is 649361. The reversal of 649332 is 233946.

649332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 181476 = 684^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 649296 and 649305.

It is a congruent number.

It is an unprimeable number.

649332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82 + ... + 1142.

It is an arithmetic number, because the mean of its divisors is an integer number (48321).

2649332 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 649332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869778).

649332 is an abundant number, since it is smaller than the sum of its proper divisors (1090224).

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

649332 is a wasteful number, since it uses less digits than its factorization.

649332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1083 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 649332 is about 805.8113923245. The cubic root of 649332 is about 86.5942261208.

The spelling of 649332 in words is "six hundred forty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1061 2122 3183 4244 6366 9549 12732 18037 19098 36074 38196 54111 72148 108222 162333 216444 324666 649332