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14286048 = 253723037
BaseRepresentation
bin110110011111…
…110011100000
3222212210202220
4312133303200
512124123143
61230111040
7232300200
oct66376340
928783686
1014286048
118078357
12494b480
132c626aa
141c7c400
1513c2d83
hexd9fce0

14286048 has 72 divisors (see below), whose sum is σ = 43637832. Its totient is φ = 4080384.

The previous prime is 14286031. The next prime is 14286061. The reversal of 14286048 is 84068241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3186 + ... + 6222.

It is an arithmetic number, because the mean of its divisors is an integer number (606081).

Almost surely, 214286048 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 14286048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818916).

14286048 is an abundant number, since it is smaller than the sum of its proper divisors (29351784).

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

14286048 is a wasteful number, since it uses less digits than its factorization.

14286048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 14286048 is about 3779.6888760849. The cubic root of 14286048 is about 242.6446396838.

The spelling of 14286048 in words is "fourteen million, two hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 3037 4704 6074 9111 12148 18222 21259 24296 36444 42518 48592 63777 72888 85036 97184 127554 145776 148813 170072 255108 291552 297626 340144 446439 510216 595252 680288 892878 1020432 1190504 1785756 2040864 2381008 3571512 4762016 7143024 14286048