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14928896 = 21061239
BaseRepresentation
bin111000111100…
…110000000000
31001002110121002
4320330300000
512310211041
61251551132
7240615323
oct70746000
931073532
1014928896
118477334
124bbb4a8
133129188
141da87ba
15149d59b
hexe3cc00

14928896 has 44 divisors (see below), whose sum is σ = 30459360. Its totient is φ = 7311360.

The previous prime is 14928847. The next prime is 14928913. The reversal of 14928896 is 69882941.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 14928896.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62345 + ... + 62583.

Almost surely, 214928896 is an apocalyptic number.

14928896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229680).

14928896 is an abundant number, since it is smaller than the sum of its proper divisors (15530464).

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

14928896 is an equidigital number, since it uses as much as digits as its factorization.

14928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 302 counting only the distinct ones).

The product of its digits is 248832, while the sum is 47.

The square root of 14928896 is about 3863.7929551155. The cubic root of 14928896 is about 246.2309066423.

The spelling of 14928896 in words is "fourteen million, nine hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 239 244 256 478 488 512 956 976 1024 1912 1952 3824 3904 7648 7808 14579 15296 15616 29158 30592 31232 58316 61184 62464 116632 122368 233264 244736 466528 933056 1866112 3732224 7464448 14928896