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14386272 = 253277541
BaseRepresentation
bin110110111000…
…010001100000
31000001220020220
4312320101200
512140330042
61232203040
7233165325
oct66702140
930056226
1014386272
11813668a
124999480
132c991b4
141ca6b4c
1513e28ec
hexdb8460

14386272 has 48 divisors (see below), whose sum is σ = 37970352. Its totient is φ = 4769280.

The previous prime is 14386271. The next prime is 14386297. The reversal of 14386272 is 27268341.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14386271) 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, 26322 + ... + 26862.

It is an arithmetic number, because the mean of its divisors is an integer number (791049).

Almost surely, 214386272 is an apocalyptic number.

14386272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14386272 is an abundant number, since it is smaller than the sum of its proper divisors (23584080).

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

14386272 is a wasteful number, since it uses less digits than its factorization.

14386272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 14386272 is about 3792.9239380721. The cubic root of 14386272 is about 243.2107436967.

The spelling of 14386272 in words is "fourteen million, three hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 277 541 554 831 1082 1108 1623 1662 2164 2216 3246 3324 4328 4432 6492 6648 8656 8864 12984 13296 17312 25968 26592 51936 149857 299714 449571 599428 899142 1198856 1798284 2397712 3596568 4795424 7193136 14386272