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14006448 = 2432234229
BaseRepresentation
bin110101011011…
…100010110000
3222100121020100
4311123202300
512041201243
61220112400
7230024061
oct65334260
928317210
1014006448
1179a7285
124835700
132b95351
141c08568
15136a0d3
hexd5b8b0

14006448 has 60 divisors (see below), whose sum is σ = 40912560. Its totient is φ = 4464768.

The previous prime is 14006429. The next prime is 14006459. The reversal of 14006448 is 84460041.

14006448 is a `hidden beast` number, since 14 + 0 + 0 + 644 + 8 = 666.

14006448 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 1198 + ... + 5426.

It is an arithmetic number, because the mean of its divisors is an integer number (681876).

Almost surely, 214006448 is an apocalyptic number.

14006448 is a gapful number since it is divisible by the number (18) 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 14006448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20456280).

14006448 is an abundant number, since it is smaller than the sum of its proper divisors (26906112).

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

14006448 is a wasteful number, since it uses less digits than its factorization.

14006448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14006448 is about 3742.5189378278. The cubic root of 14006448 is about 241.0512221606.

Adding to 14006448 its reverse (84460041), we get a palindrome (98466489).

The spelling of 14006448 in words is "fourteen million, six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 4229 8458 12687 16916 25374 33832 38061 50748 67664 76122 97267 101496 152244 194534 202992 291801 304488 389068 583602 608976 778136 875403 1167204 1556272 1750806 2334408 3501612 4668816 7003224 14006448