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14882672 = 247241463
BaseRepresentation
bin111000110001…
…011101110000
31001000010012002
4320301131300
512302221142
61250553132
7240333500
oct70613560
931003162
1014882672
118445632
124b987a8
13311111c
141d95a00
15148ea32
hexe31770

14882672 has 60 divisors (see below), whose sum is σ = 34435296. Its totient is φ = 6209280.

The previous prime is 14882663. The next prime is 14882677. The reversal of 14882672 is 27628841.

14882672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14882677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31913 + ... + 32375.

Almost surely, 214882672 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 14882672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17217648).

14882672 is an abundant number, since it is smaller than the sum of its proper divisors (19552624).

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

14882672 is a wasteful number, since it uses less digits than its factorization.

14882672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 513 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 14882672 is about 3857.8066307165. The cubic root of 14882672 is about 245.9765108557.

The spelling of 14882672 in words is "fourteen million, eight hundred eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 463 574 656 784 926 1148 1852 2009 2296 3241 3704 4018 4592 6482 7408 8036 12964 16072 18983 22687 25928 32144 37966 45374 51856 75932 90748 132881 151864 181496 265762 303728 362992 531524 930167 1063048 1860334 2126096 3720668 7441336 14882672