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844424101 = 37178912757
BaseRepresentation
bin110010010101001…
…110001110100101
32011211221012002201
4302111032032211
53212133032401
6215442534501
726632325563
oct6225161645
92154835081
10844424101
113a3723364
121b6967431
13105c38341
1480210a33
154e1eeb01
hex3254e3a5

844424101 has 8 divisors (see below), whose sum is σ = 867799160. Its totient is φ = 821078208.

The previous prime is 844424089. The next prime is 844424111. The reversal of 844424101 is 101424448.

844424101 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 4 ways, for example, as 546343876 + 298080225 = 23374^2 + 17265^2 .

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 844424101 - 29 = 844423589 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 844424101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844424111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59815 + ... + 72571.

It is an arithmetic number, because the mean of its divisors is an integer number (108474895).

Almost surely, 2844424101 is an apocalyptic number.

It is an amenable number.

844424101 is a deficient number, since it is larger than the sum of its proper divisors (23375059).

844424101 is a wasteful number, since it uses less digits than its factorization.

844424101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14583.

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 844424101 is about 29058.9762551952. The cubic root of 844424101 is about 945.1923690383.

Adding to 844424101 its reverse (101424448), we get a palindrome (945848549).

The spelling of 844424101 in words is "eight hundred forty-four million, four hundred twenty-four thousand, one hundred one".

Divisors: 1 37 1789 12757 66193 472009 22822273 844424101