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649936 = 2472829
BaseRepresentation
bin10011110101011010000
31020000112201
42132223100
5131244221
621532544
75344600
oct2365320
91200481
10649936
11404341
12274154
13199aa1
1412cc00
15cc891
hex9ead0

649936 has 30 divisors (see below), whose sum is σ = 1466610. Its totient is φ = 278208.

The previous prime is 649921. The next prime is 649937. The reversal of 649936 is 639946.

649936 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 only one way, i.e., 571536 + 78400 = 756^2 + 280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 649895 and 649904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649937) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 370 + ... + 1198.

It is an arithmetic number, because the mean of its divisors is an integer number (48887).

2649936 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 649936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733305).

649936 is an abundant number, since it is smaller than the sum of its proper divisors (816674).

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

649936 is a wasteful number, since it uses less digits than its factorization.

649936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 838 counting only the distinct ones).

The product of its digits is 34992, while the sum is 37.

The square root of 649936 is about 806.1860827377. The cubic root of 649936 is about 86.6210673996.

It can be divided in two parts, 64 and 9936, that added together give a 4-th power (10000 = 104).

The spelling of 649936 in words is "six hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 829 1658 3316 5803 6632 11606 13264 23212 40621 46424 81242 92848 162484 324968 649936