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14431392 = 253316703
BaseRepresentation
bin110111000011…
…010010100000
31000011012011000
4313003102200
512143301032
61233152000
7233444013
oct67032240
930135130
1014431392
118167578
1249bb600
132cb38b1
141cb937a
151400e7c
hexdc34a0

14431392 has 48 divisors (see below), whose sum is σ = 42094080. Its totient is φ = 4810176.

The previous prime is 14431381. The next prime is 14431409. The reversal of 14431392 is 29313441.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 7488 + ... + 9215.

It is an arithmetic number, because the mean of its divisors is an integer number (876960).

Almost surely, 214431392 is an apocalyptic number.

14431392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14431392 is an abundant number, since it is smaller than the sum of its proper divisors (27662688).

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

14431392 is a wasteful number, since it uses less digits than its factorization.

14431392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722 (or 16708 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 14431392 is about 3798.8671995741. The cubic root of 14431392 is about 243.4647408494.

The spelling of 14431392 in words is "fourteen million, four hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 16703 33406 50109 66812 100218 133624 150327 200436 267248 300654 400872 450981 534496 601308 801744 901962 1202616 1603488 1803924 2405232 3607848 4810464 7215696 14431392