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14143248 = 243471559
BaseRepresentation
bin110101111100…
…111100010000
3222121112220000
4311330330100
512110040443
61223050000
7231133650
oct65747420
928545800
1014143248
117a90039
1248a0900
132c126b2
141c42360
1513958d3
hexd7cf10

14143248 has 100 divisors (see below), whose sum is σ = 46812480. Its totient is φ = 4038336.

The previous prime is 14143187. The next prime is 14143249. The reversal of 14143248 is 84234141.

14143248 is a `hidden beast` number, since 1 + 414 + 3 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14143249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8293 + ... + 9851.

Almost surely, 214143248 is an apocalyptic number.

14143248 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 14143248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23406240).

14143248 is an abundant number, since it is smaller than the sum of its proper divisors (32669232).

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

14143248 is a wasteful number, since it uses less digits than its factorization.

14143248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1571 counting only the distinct ones).

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

The square root of 14143248 is about 3760.7509888319. The cubic root of 14143248 is about 241.8334578015.

Subtracting from 14143248 its sum of digits (27), we obtain a triangular number (14143221 = T5318).

Adding to 14143248 its reverse (84234141), we get a palindrome (98377389).

The spelling of 14143248 in words is "fourteen million, one hundred forty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 1559 2268 3024 3118 4536 4677 6236 9072 9354 10913 12472 14031 18708 21826 24944 28062 32739 37416 42093 43652 56124 65478 74832 84186 87304 98217 112248 126279 130956 168372 174608 196434 224496 252558 261912 294651 336744 392868 505116 523824 589302 673488 785736 883953 1010232 1178604 1571472 1767906 2020464 2357208 3535812 4714416 7071624 14143248