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14004192 = 253178581
BaseRepresentation
bin110101011010…
…111111100000
3222100111010210
4311122333200
512041113232
61220054120
7230014356
oct65327740
928314123
1014004192
1179a5614
124834340
132b94307
141c077d6
1513695cc
hexd5afe0

14004192 has 48 divisors (see below), whose sum is σ = 38927952. Its totient is φ = 4392960.

The previous prime is 14004191. The next prime is 14004223. The reversal of 14004192 is 29140041.

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

It is a super-2 number, since 2×140041922 = 392234787145728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2659 + ... + 5922.

It is an arithmetic number, because the mean of its divisors is an integer number (810999).

Almost surely, 214004192 is an apocalyptic number.

14004192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14004192 is an abundant number, since it is smaller than the sum of its proper divisors (24923760).

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

14004192 is a wasteful number, since it uses less digits than its factorization.

14004192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8611 (or 8603 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 14004192 is about 3742.2175244098. The cubic root of 14004192 is about 241.0382795321.

It can be divided in two parts, 14004 and 192, that added together give a triangular number (14196 = T168).

The spelling of 14004192 in words is "fourteen million, four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 8581 17162 25743 34324 51486 68648 102972 137296 145877 205944 274592 291754 411888 437631 583508 823776 875262 1167016 1750524 2334032 3501048 4668064 7002096 14004192