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18442128 = 243419371
BaseRepresentation
bin100011001011…
…0011110010000
31021200221211210
41012112132100
514210122003
61455140120
7312520065
oct106263620
937627753
1018442128
11a456931
126214640
133a89303
142640c6c
151944503
hex1196790

18442128 has 40 divisors (see below), whose sum is σ = 48809376. Its totient is φ = 5996800.

The previous prime is 18442121. The next prime is 18442129. The reversal of 18442128 is 82124481.

It is a super-2 number, since 2×184421282 = 680224170336768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 18442095 and 18442104.

It is not an unprimeable number, because it can be changed into a prime (18442121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2718 + ... + 6653.

Almost surely, 218442128 is an apocalyptic number.

It is an amenable number.

18442128 is an abundant number, since it is smaller than the sum of its proper divisors (30367248).

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

18442128 is a wasteful number, since it uses less digits than its factorization.

18442128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9423 (or 9417 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 18442128 is about 4294.4298806710. The cubic root of 18442128 is about 264.2025534588.

The spelling of 18442128 in words is "eighteen million, four hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 9371 18742 28113 37484 56226 74968 112452 149936 224904 384211 449808 768422 1152633 1536844 2305266 3073688 4610532 6147376 9221064 18442128