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14419008 = 263225033
BaseRepresentation
bin110111000000…
…010001000000
31000010120011100
4313000101000
512142402013
61233014400
7233362632
oct67002100
930116140
1014419008
11815923a
1249b4400
132cab076
141cb4a52
1513ec473
hexdc0440

14419008 has 42 divisors (see below), whose sum is σ = 41331134. Its totient is φ = 4806144.

The previous prime is 14419007. The next prime is 14419019. The reversal of 14419008 is 80091441.

It can be written as a sum of positive squares in only one way, i.e., 9437184 + 4981824 = 3072^2 + 2232^2 .

It is not an unprimeable number, because it can be changed into a prime (14419007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11941 + ... + 13092.

Almost surely, 214419008 is an apocalyptic number.

14419008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14419008 is an abundant number, since it is smaller than the sum of its proper divisors (26912126).

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

14419008 is a wasteful number, since it uses less digits than its factorization.

14419008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25051 (or 25038 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14419008 is about 3797.2368901611. The cubic root of 14419008 is about 243.3950795120.

The spelling of 14419008 in words is "fourteen million, four hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 25033 50066 75099 100132 150198 200264 225297 300396 400528 450594 600792 801056 901188 1201584 1602112 1802376 2403168 3604752 4806336 7209504 14419008