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14688048 = 243319871
BaseRepresentation
bin111000000001…
…111100110000
31000122020012210
4320001330300
512230004143
61242452120
7235563204
oct70017460
930566183
1014688048
118322391
124b04040
13307366b
141d44b04
151452033
hexe01f30

14688048 has 40 divisors (see below), whose sum is σ = 39172096. Its totient is φ = 4737600.

The previous prime is 14688043. The next prime is 14688059. The reversal of 14688048 is 84088641.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 14687997 and 14688015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14688043) 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, 3448 + ... + 6423.

Almost surely, 214688048 is an apocalyptic number.

It is an amenable number.

14688048 is an abundant number, since it is smaller than the sum of its proper divisors (24484048).

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

14688048 is a wasteful number, since it uses less digits than its factorization.

14688048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913 (or 9907 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 14688048 is about 3832.4989236789. The cubic root of 14688048 is about 244.8995728896.

The spelling of 14688048 in words is "fourteen million, six hundred eighty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 9871 19742 29613 39484 59226 78968 118452 157936 236904 306001 473808 612002 918003 1224004 1836006 2448008 3672012 4896016 7344024 14688048