Search a number
-
+
14504928 = 2531391087
BaseRepresentation
bin110111010101…
…001111100000
31000021221000120
4313111033200
512203124203
61234520240
7234201264
oct67251740
930257016
1014504928
118207849
124a36080
13300b1c9
141cd80a4
151417b53
hexdd53e0

14504928 has 48 divisors (see below), whose sum is σ = 38384640. Its totient is φ = 4795776.

The previous prime is 14504921. The next prime is 14504929. The reversal of 14504928 is 82940541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14504921) 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 7 ways as a sum of consecutive naturals, for example, 12801 + ... + 13887.

It is an arithmetic number, because the mean of its divisors is an integer number (799680).

Almost surely, 214504928 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 14504928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320).

14504928 is an abundant number, since it is smaller than the sum of its proper divisors (23879712).

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

14504928 is a wasteful number, since it uses less digits than its factorization.

14504928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 14504928 is about 3808.5335760631. The cubic root of 14504928 is about 243.8775700406.

The spelling of 14504928 in words is "fourteen million, five hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1087 1112 1668 2174 2224 3261 3336 4348 4448 6522 6672 8696 13044 13344 17392 26088 34784 52176 104352 151093 302186 453279 604372 906558 1208744 1813116 2417488 3626232 4834976 7252464 14504928