Search a number
-
+
4144420 = 225724229
BaseRepresentation
bin1111110011110100100100
321210120002001
433303310210
52030110140
6224455044
750140600
oct17636444
97716061
104144420
112380845
12147a484
13b21527
1479c500
1556ce9a
hex3f3d24

4144420 has 36 divisors (see below), whose sum is σ = 10126620. Its totient is φ = 1420608.

The previous prime is 4144409. The next prime is 4144423. The reversal of 4144420 is 244414.

It can be written as a sum of positive squares in 2 ways, for example, as 3211264 + 933156 = 1792^2 + 966^2 .

It is not an unprimeable number, because it can be changed into a prime (4144423) by changing a digit.

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, 1135 + ... + 3094.

It is an arithmetic number, because the mean of its divisors is an integer number (281295).

Almost surely, 24144420 is an apocalyptic number.

It is an amenable number.

4144420 is an abundant number, since it is smaller than the sum of its proper divisors (5982200).

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

4144420 is a wasteful number, since it uses less digits than its factorization.

4144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4144420 is about 2035.7848609320. The cubic root of 4144420 is about 160.6280006202.

Adding to 4144420 its reverse (244414), we get a palindrome (4388834).

The spelling of 4144420 in words is "four million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 4229 8458 16916 21145 29603 42290 59206 84580 118412 148015 207221 296030 414442 592060 828884 1036105 2072210 4144420