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14441952 = 253721491
BaseRepresentation
bin110111000101…
…110111100000
31000011201122010
4313011313200
512144120302
61233312520
7233516550
oct67056740
930151563
1014441952
1181744a8
124a05740
132cb8645
141cbd160
15140416c
hexdc5de0

14441952 has 48 divisors (see below), whose sum is σ = 43327872. Its totient is φ = 4126080.

The previous prime is 14441929. The next prime is 14441983. The reversal of 14441952 is 25914441.

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

It is a congruent number.

It is an unprimeable number.

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, 10074 + ... + 11417.

It is an arithmetic number, because the mean of its divisors is an integer number (902664).

Almost surely, 214441952 is an apocalyptic number.

14441952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14441952 is an abundant number, since it is smaller than the sum of its proper divisors (28885920).

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

14441952 is a wasteful number, since it uses less digits than its factorization.

14441952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21511 (or 21503 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 14441952 is about 3800.2568334259. The cubic root of 14441952 is about 243.5241105166.

The spelling of 14441952 in words is "fourteen million, four hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 21491 42982 64473 85964 128946 150437 171928 257892 300874 343856 451311 515784 601748 687712 902622 1031568 1203496 1805244 2063136 2406992 3610488 4813984 7220976 14441952