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14529144 = 2337197439
BaseRepresentation
bin110111011011…
…001001111000
31000100011020110
4313123021320
512204413034
61235224320
7234332010
oct67331170
930304213
1014529144
118223a63
124a480a0
133019236
141d02c40
15141ede9
hexddb278

14529144 has 64 divisors (see below), whose sum is σ = 41817600. Its totient is φ = 4120704.

The previous prime is 14529143. The next prime is 14529199. The reversal of 14529144 is 44192541.

It is a super-2 number, since 2×145291442 = 422192050745472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14529143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32877 + ... + 33315.

It is an arithmetic number, because the mean of its divisors is an integer number (653400).

Almost surely, 214529144 is an apocalyptic number.

14529144 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 14529144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908800).

14529144 is an abundant number, since it is smaller than the sum of its proper divisors (27288456).

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

14529144 is a wasteful number, since it uses less digits than its factorization.

14529144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 648 counting only the distinct ones).

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

The square root of 14529144 is about 3811.7114266429. The cubic root of 14529144 is about 244.0132125784.

The spelling of 14529144 in words is "fourteen million, five hundred twenty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 197 394 439 591 788 878 1182 1317 1379 1576 1756 2364 2634 2758 3073 3512 4137 4728 5268 5516 6146 8274 9219 10536 11032 12292 16548 18438 24584 33096 36876 73752 86483 172966 259449 345932 518898 605381 691864 1037796 1210762 1816143 2075592 2421524 3632286 4843048 7264572 14529144