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14853984 = 253359431
BaseRepresentation
bin111000101010…
…011101100000
31000221122211120
4320222131200
512300311414
61250212240
7240154035
oct70523540
930848746
1014853984
118426022
124b84080
133101052
141d8938c
1514862a9
hexe2a760

14853984 has 48 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 4926080.

The previous prime is 14853973. The next prime is 14853989. The reversal of 14853984 is 48935841.

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 (14853989) 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 7 ways as a sum of consecutive naturals, for example, 34249 + ... + 34679.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 214853984 is an apocalyptic number.

It is an amenable number.

14853984 is an abundant number, since it is smaller than the sum of its proper divisors (24337056).

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

14853984 is a wasteful number, since it uses less digits than its factorization.

14853984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 14853984 is about 3854.0866622327. The cubic root of 14853984 is about 245.8183601976.

The spelling of 14853984 in words is "fourteen million, eight hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 359 431 718 862 1077 1293 1436 1724 2154 2586 2872 3448 4308 5172 5744 6896 8616 10344 11488 13792 17232 20688 34464 41376 154729 309458 464187 618916 928374 1237832 1856748 2475664 3713496 4951328 7426992 14853984