Search a number
-
+
14549008 = 241789601
BaseRepresentation
bin110111100000…
…000000010000
31000101011111011
4313200000100
512211032013
61235500304
7234443635
oct67400020
930334434
1014549008
118237981
124a57694
1330252a6
141d0a18c
151425c3d
hexde0010

14549008 has 40 divisors (see below), whose sum is σ = 30232440. Its totient is φ = 6758400.

The previous prime is 14548999. The next prime is 14549011. The reversal of 14549008 is 80094541.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4129024 + 10419984 = 2032^2 + 3228^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23908 + ... + 24508.

It is an arithmetic number, because the mean of its divisors is an integer number (755811).

Almost surely, 214549008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14549008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116220).

14549008 is an abundant number, since it is smaller than the sum of its proper divisors (15683432).

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

14549008 is a wasteful number, since it uses less digits than its factorization.

14549008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 14549008 is about 3814.3161903544. The cubic root of 14549008 is about 244.1243655177.

The spelling of 14549008 in words is "fourteen million, five hundred forty-nine thousand, eight".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 601 712 1202 1424 1513 2404 3026 4808 6052 9616 10217 12104 20434 24208 40868 53489 81736 106978 163472 213956 427912 855824 909313 1818626 3637252 7274504 14549008