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14248608 = 25311103131
BaseRepresentation
bin110110010110…
…101010100000
3222210220102020
4312112222200
512121423413
61225221440
7232053063
oct66265240
928726366
1014248608
118052210
124931880
132c4b63a
141c6c8da
1513b6c23
hexd96aa0

14248608 has 96 divisors (see below), whose sum is σ = 41513472. Its totient is φ = 4243200.

The previous prime is 14248571. The next prime is 14248627. The reversal of 14248608 is 80684241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108703 + ... + 108833.

It is an arithmetic number, because the mean of its divisors is an integer number (432432).

Almost surely, 214248608 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 14248608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736).

14248608 is an abundant number, since it is smaller than the sum of its proper divisors (27264864).

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

14248608 is a wasteful number, since it uses less digits than its factorization.

14248608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 14248608 is about 3774.7328382284. The cubic root of 14248608 is about 242.4324848359.

The spelling of 14248608 in words is "fourteen million, two hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 131 132 176 206 262 264 309 352 393 412 524 528 618 786 824 1048 1056 1133 1236 1441 1572 1648 2096 2266 2472 2882 3144 3296 3399 4192 4323 4532 4944 5764 6288 6798 8646 9064 9888 11528 12576 13493 13596 17292 18128 23056 26986 27192 34584 36256 40479 46112 53972 54384 69168 80958 107944 108768 138336 148423 161916 215888 296846 323832 431776 445269 593692 647664 890538 1187384 1295328 1781076 2374768 3562152 4749536 7124304 14248608