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14809248 = 253251421
BaseRepresentation
bin111000011111…
…100010100000
31000212101110200
4320133202200
512242343443
61245225200
7236606436
oct70374240
930771420
1014809248
1183a5453
124b62200
1330b688c
141d76d56
151477dd3
hexe1f8a0

14809248 has 36 divisors (see below), whose sum is σ = 42114618. Its totient is φ = 4936320.

The previous prime is 14809231. The next prime is 14809273. The reversal of 14809248 is 84290841.

It can be written as a sum of positive squares in only one way, i.e., 12027024 + 2782224 = 3468^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 25423 + ... + 25998.

Almost surely, 214809248 is an apocalyptic number.

14809248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14809248 is an abundant number, since it is smaller than the sum of its proper divisors (27305370).

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

14809248 is a wasteful number, since it uses less digits than its factorization.

14809248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51437 (or 51426 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 14809248 is about 3848.2785761948. The cubic root of 14809248 is about 245.5713335738.

It can be divided in two parts, 1 and 4809248, that added together give a square (4809249 = 21932).

The spelling of 14809248 in words is "fourteen million, eight hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 51421 102842 154263 205684 308526 411368 462789 617052 822736 925578 1234104 1645472 1851156 2468208 3702312 4936416 7404624 14809248