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14008288 = 257232719
BaseRepresentation
bin110101011011…
…111111100000
3222100200202111
4311123333200
512041231123
61220125104
7230032330
oct65337740
928320674
1014008288
1179a86a8
124836794
132b96138
141c090c0
15136a90d
hexd5bfe0

14008288 has 48 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 5740416.

The previous prime is 14008273. The next prime is 14008307. The reversal of 14008288 is 88280041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3793 + ... + 6511.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 214008288 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 14008288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

14008288 is an abundant number, since it is smaller than the sum of its proper divisors (18892832).

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

14008288 is a wasteful number, since it uses less digits than its factorization.

14008288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 14008288 is about 3742.7647534944. The cubic root of 14008288 is about 241.0617771761.

It can be divided in two parts, 14008 and 288, that multiplied together give a palindrome (4034304).

The spelling of 14008288 in words is "fourteen million, eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 2719 5152 5438 10876 19033 21752 38066 43504 62537 76132 87008 125074 152264 250148 304528 437759 500296 609056 875518 1000592 1751036 2001184 3502072 7004144 14008288