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2042209 = 13295417
BaseRepresentation
bin111110010100101100001
310211202101101
413302211201
51010322314
6111434401
723233651
oct7624541
93752341
102042209
111175384
12825a01
13566710
143b2361
152a5174
hex1f2961

2042209 has 8 divisors (see below), whose sum is σ = 2275560. Its totient is φ = 1819776.

The previous prime is 2042207. The next prime is 2042213. The reversal of 2042209 is 9022402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3025 + 2039184 = 55^2 + 1428^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2042209 - 21 = 2042207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2042203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2332 + ... + 3085.

It is an arithmetic number, because the mean of its divisors is an integer number (284445).

22042209 is an apocalyptic number.

2042209 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2042209 is a deficient number, since it is larger than the sum of its proper divisors (233351).

2042209 is a wasteful number, since it uses less digits than its factorization.

2042209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2042209 is about 1429.0587811563. The cubic root of 2042209 is about 126.8722753344.

The spelling of 2042209 in words is "two million, forty-two thousand, two hundred nine".

Divisors: 1 13 29 377 5417 70421 157093 2042209