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4004145 = 325101881
BaseRepresentation
bin1111010001100100110001
321112102122200
433101210301
52011113040
6221453413
746014615
oct17214461
97472580
104004145
112295412
121411269
13aa2722
14763345
15541630
hex3d1931

4004145 has 24 divisors (see below), whose sum is σ = 7017192. Its totient is φ = 2112000.

The previous prime is 4004141. The next prime is 4004179. The reversal of 4004145 is 5414004.

4004145 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 720801 + 3283344 = 849^2 + 1812^2 .

It is not a de Polignac number, because 4004145 - 22 = 4004141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4004141) 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 23 ways as a sum of consecutive naturals, for example, 4105 + ... + 4985.

It is an arithmetic number, because the mean of its divisors is an integer number (292383).

Almost surely, 24004145 is an apocalyptic number.

4004145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4004145 is a deficient number, since it is larger than the sum of its proper divisors (3013047).

4004145 is a wasteful number, since it uses less digits than its factorization.

4004145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4004145 is about 2001.0359816855. The cubic root of 4004145 is about 158.7949177460.

Adding to 4004145 its reverse (5414004), we get a palindrome (9418149).

The spelling of 4004145 in words is "four million, four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 101 303 505 881 909 1515 2643 4405 4545 7929 13215 39645 88981 266943 444905 800829 1334715 4004145