Search a number
-
+
2989441 = 72132192
BaseRepresentation
bin1011011001110110000001
312121212202001
423121312001
51231130231
6144024001
734260400
oct13316601
95555661
102989441
111762014
121002001
13808900
1457b637
153e0b61
hex2d9d81

2989441 has 27 divisors (see below), whose sum is σ = 3974211. Its totient is φ = 2240784.

The previous prime is 2989429. The next prime is 2989447. The reversal of 2989441 is 1449892.

Multipling 2989441 by its product of digits (20736), we get a square (61989048576 = 2489762).

It is a happy number.

The square root of 2989441 is 1729.

It is a perfect power (a square), and thus also a powerful number.

2989441 is nontrivially palindromic in base 12.

2989441 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 only one way, i.e., 442225 + 2547216 = 665^2 + 1596^2 .

It is not a de Polignac number, because 2989441 - 25 = 2989409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2989441.

It is not an unprimeable number, because it can be changed into a prime (2989447) 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 26 ways as a sum of consecutive naturals, for example, 157330 + ... + 157348.

It is an arithmetic number, because the mean of its divisors is an integer number (147193).

22989441 is an apocalyptic number.

2989441 is the 1729-th square number.

2989441 is the 865-th centered octagonal number.

It is an amenable number.

2989441 is a deficient number, since it is larger than the sum of its proper divisors (984770).

2989441 is a wasteful number, since it uses less digits than its factorization.

2989441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The cubic root of 2989441 is about 144.0555501986.

The spelling of 2989441 in words is "two million, nine hundred eighty-nine thousand, four hundred forty-one".

Divisors: 1 7 13 19 49 91 133 169 247 361 637 931 1183 1729 2527 3211 4693 8281 12103 17689 22477 32851 61009 157339 229957 427063 2989441