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14028576 = 253295039
BaseRepresentation
bin110101100000…
…111100100000
3222101201120220
4311200330200
512042403301
61220403040
7230145432
oct65407440
928351526
1014028576
117a11971
124846480
132ba2443
141c12652
151371936
hexd60f20

14028576 has 48 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 4514048.

The previous prime is 14028571. The next prime is 14028589. The reversal of 14028576 is 67582041.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14028571) 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, 265 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 214028576 is an apocalyptic number.

14028576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14028576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

14028576 is an abundant number, since it is smaller than the sum of its proper divisors (24073824).

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

14028576 is a wasteful number, since it uses less digits than its factorization.

14028576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 14028576 is about 3745.4740687929. The cubic root of 14028576 is about 241.1780964629.

The spelling of 14028576 in words is "fourteen million, twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 5039 10078 15117 20156 30234 40312 60468 80624 120936 146131 161248 241872 292262 438393 483744 584524 876786 1169048 1753572 2338096 3507144 4676192 7014288 14028576