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2006452 = 227229353
BaseRepresentation
bin111101001110110110100
310202221100001
413221312310
51003201302
6111001044
723024500
oct7516664
93687301
102006452
111150528
12809184
13553366
143a3300
15299787
hex1e9db4

2006452 has 36 divisors (see below), whose sum is σ = 4237380. Its totient is φ = 827904.

The previous prime is 2006447. The next prime is 2006461. The reversal of 2006452 is 2546002.

It can be written as a sum of positive squares in 2 ways, for example, as 933156 + 1073296 = 966^2 + 1036^2 .

It is a zygodrome in base 13.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5508 + ... + 5860.

It is an arithmetic number, because the mean of its divisors is an integer number (117705).

22006452 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 2006452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118690).

2006452 is an abundant number, since it is smaller than the sum of its proper divisors (2230928).

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

2006452 is a wasteful number, since it uses less digits than its factorization.

2006452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2006452 is about 1416.4928520822. The cubic root of 2006452 is about 126.1274430703.

The spelling of 2006452 in words is "two million, six thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 353 406 706 812 1412 1421 2471 2842 4942 5684 9884 10237 17297 20474 34594 40948 69188 71659 143318 286636 501613 1003226 2006452