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4409361 = 321124049
BaseRepresentation
bin10000110100100000010001
322022000111200
4100310200101
52112044421
6234301413
752323165
oct20644021
98260450
104409361
112541900
121587869
13bb4cb8
1482aca5
155c1726
hex434811

4409361 has 18 divisors (see below), whose sum is σ = 7002450. Its totient is φ = 2671680.

The previous prime is 4409333. The next prime is 4409371. The reversal of 4409361 is 1639044.

It can be written as a sum of positive squares in only one way, i.e., 3294225 + 1115136 = 1815^2 + 1056^2 .

It is not a de Polignac number, because 4409361 - 26 = 4409297 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

4409361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4409371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 936 + ... + 3113.

It is an arithmetic number, because the mean of its divisors is an integer number (389025).

Almost surely, 24409361 is an apocalyptic number.

It is an amenable number.

4409361 is a deficient number, since it is larger than the sum of its proper divisors (2593089).

4409361 is a wasteful number, since it uses less digits than its factorization.

4409361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4063 counting only the distinct ones).

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

The square root of 4409361 is about 2099.8478516312. The cubic root of 4409361 is about 163.9803788741.

It can be divided in two parts, 440 and 9361, that added together give a square (9801 = 992).

The spelling of 4409361 in words is "four million, four hundred nine thousand, three hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 4049 12147 36441 44539 133617 400851 489929 1469787 4409361