Search a number
-
+
14493249 = 38472
BaseRepresentation
bin110111010010…
…011001000001
31000021100000000
4313102121001
512202240444
61234350213
7234122241
oct67223101
930240000
1014493249
1181a9aa1
124a2b369
133005ab4
141cd3b21
151414469
hexdd2641

14493249 has 27 divisors (see below), whose sum is σ = 22211137. Its totient is φ = 9456588.

The previous prime is 14493247. The next prime is 14493251. The reversal of 14493249 is 94239441.

The square root of 14493249 is 3807.

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

It is an interprime number because it is at equal distance from previous prime (14493247) and next prime (14493251).

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 14493249 - 21 = 14493247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14493247) 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, 308344 + ... + 308390.

Almost surely, 214493249 is an apocalyptic number.

14493249 is the 3807-th square number.

14493249 is the 1904-th centered octagonal number.

It is an amenable number.

14493249 is a deficient number, since it is larger than the sum of its proper divisors (7717888).

14493249 is an frugal number, since it uses more digits than its factorization.

14493249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 50 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The cubic root of 14493249 is about 243.8120977881.

Multiplying 14493249 by its sum of digits (36), we get a square (521756964 = 228422).

The spelling of 14493249 in words is "fourteen million, four hundred ninety-three thousand, two hundred forty-nine".

Divisors: 1 3 9 27 47 81 141 243 423 729 1269 2187 2209 3807 6561 6627 11421 19881 34263 59643 102789 178929 308367 536787 1610361 4831083 14493249