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14008608 = 2532127383
BaseRepresentation
bin110101011100…
…000100100000
3222100201012100
4311130010200
512041233413
61220130400
7230033265
oct65340440
928321170
1014008608
1179a8969
124836a00
132b96323
141c0926c
15136aa73
hexd5c120

14008608 has 72 divisors (see below), whose sum is σ = 40255488. Its totient is φ = 4620672.

The previous prime is 14008601. The next prime is 14008609. The reversal of 14008608 is 80680041.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (14008601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36385 + ... + 36767.

It is an arithmetic number, because the mean of its divisors is an integer number (559104).

Almost surely, 214008608 is an apocalyptic number.

14008608 is a gapful number since it is divisible by the number (18) 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 14008608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127744).

14008608 is an abundant number, since it is smaller than the sum of its proper divisors (26246880).

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

14008608 is a wasteful number, since it uses less digits than its factorization.

14008608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 14008608 is about 3742.8075023971. The cubic root of 14008608 is about 241.0636127366.

Adding to 14008608 its reverse (80680041), we get a palindrome (94688649).

The spelling of 14008608 in words is "fourteen million, eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 383 508 762 766 1016 1143 1149 1524 1532 2032 2286 2298 3048 3064 3447 4064 4572 4596 6096 6128 6894 9144 9192 12192 12256 13788 18288 18384 27576 36576 36768 48641 55152 97282 110304 145923 194564 291846 389128 437769 583692 778256 875538 1167384 1556512 1751076 2334768 3502152 4669536 7004304 14008608