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2006496 = 25326967
BaseRepresentation
bin111101001110111100000
310202221101200
413221313200
51003201441
6111001200
723024562
oct7516740
93687350
102006496
111150568
12809200
1355339b
143a3332
152997b6
hex1e9de0

2006496 has 36 divisors (see below), whose sum is σ = 5706792. Its totient is φ = 668736.

The previous prime is 2006491. The next prime is 2006503. The reversal of 2006496 is 6946002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006491) 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, 3196 + ... + 3771.

It is an arithmetic number, because the mean of its divisors is an integer number (158522).

22006496 is an apocalyptic number.

It is an amenable number.

2006496 is an abundant number, since it is smaller than the sum of its proper divisors (3700296).

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

2006496 is a wasteful number, since it uses less digits than its factorization.

2006496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2006496 is about 1416.5083833144. The cubic root of 2006496 is about 126.1283650239.

The spelling of 2006496 in words is "two million, six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6967 13934 20901 27868 41802 55736 62703 83604 111472 125406 167208 222944 250812 334416 501624 668832 1003248 2006496