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14439984 = 2431373317
BaseRepresentation
bin110111000101…
…011000110000
31000011121221020
4313011120300
512144034414
61233255440
7233511036
oct67053060
930147836
1014439984
118172a79
124a04580
132cb7790
141cbc556
1514037a9
hexdc5630

14439984 has 80 divisors (see below), whose sum is σ = 40851552. Its totient is φ = 4368384.

The previous prime is 14439973. The next prime is 14440001. The reversal of 14439984 is 48993441.

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 15 ways as a sum of consecutive naturals, for example, 45394 + ... + 45710.

Almost surely, 214439984 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 14439984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20425776).

14439984 is an abundant number, since it is smaller than the sum of its proper divisors (26411568).

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

14439984 is a wasteful number, since it uses less digits than its factorization.

14439984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 14439984 is about 3799.9978947363. The cubic root of 14439984 is about 243.5130483642.

The spelling of 14439984 in words is "fourteen million, four hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 292 312 317 438 584 624 634 876 949 951 1168 1268 1752 1898 1902 2536 2847 3504 3796 3804 4121 5072 5694 7592 7608 8242 11388 12363 15184 15216 16484 22776 23141 24726 32968 45552 46282 49452 65936 69423 92564 98904 138846 185128 197808 277692 300833 370256 555384 601666 902499 1110768 1203332 1804998 2406664 3609996 4813328 7219992 14439984