Search a number
-
+
20449 = 112132
BaseRepresentation
bin100111111100001
31001001101
410333201
51123244
6234401
7113422
oct47741
931041
1020449
1114400
12ba01
139400
147649
1560d4
hex4fe1

20449 has 9 divisors (see below), whose sum is σ = 24339. Its totient is φ = 17160.

The previous prime is 20443. The next prime is 20477. The reversal of 20449 is 94402.

It can be divided in two parts, 204 and 49, that added together give a triangular number (253 = T22).

20449 = T142 + T143.

20449 = 72 + 82 + ... + 392.

The square root of 20449 is 143.

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

It can be written as a sum of positive squares in only one way, i.e., 3025 + 17424 = 55^2 + 132^2 .

It is not a de Polignac number, because 20449 - 23 = 20441 is a prime.

It is a Duffinian number.

20449 is a lucky number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (20441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1567 + ... + 1579.

220449 is an apocalyptic number.

20449 is the 143-rd square number.

20449 is the 72-nd centered octagonal number.

It is an amenable number.

20449 is a deficient number, since it is larger than the sum of its proper divisors (3890).

20449 is a wasteful number, since it uses less digits than its factorization.

20449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The cubic root of 20449 is about 27.3458036825.

The spelling of 20449 in words is "twenty thousand, four hundred forty-nine".

Divisors: 1 11 13 121 143 169 1573 1859 20449