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14473984 = 28741197
BaseRepresentation
bin110111001101…
…101100000000
31000020100120111
4313031230000
512201131414
61234121104
7234012130
oct67155400
930210514
1014473984
118196578
124a20194
132cca0b5
141ccaac0
15140d8c4
hexdcdb00

14473984 has 72 divisors (see below), whose sum is σ = 33995808. Its totient is φ = 6021120.

The previous prime is 14473973. The next prime is 14473999. The reversal of 14473984 is 48937441.

It is an unprimeable number.

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, 73374 + ... + 73570.

It is an arithmetic number, because the mean of its divisors is an integer number (472164).

Almost surely, 214473984 is an apocalyptic number.

14473984 is a gapful number since it is divisible by the number (14) 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 14473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997904).

14473984 is an abundant number, since it is smaller than the sum of its proper divisors (19521824).

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

14473984 is an equidigital number, since it uses as much as digits as its factorization.

14473984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 14473984 is about 3804.4689511153. The cubic root of 14473984 is about 243.7040216586.

It can be divided in two parts, 144 and 73984, that multiplied together give a square (10653696 = 32642).

The spelling of 14473984 in words is "fourteen million, four hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 197 224 256 287 328 394 448 574 656 788 896 1148 1312 1379 1576 1792 2296 2624 2758 3152 4592 5248 5516 6304 8077 9184 10496 11032 12608 16154 18368 22064 25216 32308 36736 44128 50432 56539 64616 73472 88256 113078 129232 176512 226156 258464 353024 452312 516928 904624 1033856 1809248 2067712 3618496 7236992 14473984