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18442000 = 24539221
BaseRepresentation
bin100011001011…
…0011100010000
31021200221200001
41012112130100
514210121000
61455135344
7312516523
oct106263420
937627601
1018442000
11a456825
126214554
133a89235
142640bba
15194446a
hex1196710

18442000 has 40 divisors (see below), whose sum is σ = 44597592. Its totient is φ = 7376000.

The previous prime is 18441971. The next prime is 18442013. The reversal of 18442000 is 24481.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 18421264 = 144^2 + 4292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2611 + ... + 6610.

Almost surely, 218442000 is an apocalyptic number.

18442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18442000 is an abundant number, since it is smaller than the sum of its proper divisors (26155592).

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

18442000 is an equidigital number, since it uses as much as digits as its factorization.

18442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 18442000 is about 4294.4149776192. The cubic root of 18442000 is about 264.2019422132.

Adding to 18442000 its reverse (24481), we get a palindrome (18466481).

It can be divided in two parts, 1844 and 2000, that added together give a square (3844 = 622).

The spelling of 18442000 in words is "eighteen million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 9221 18442 36884 46105 73768 92210 147536 184420 230525 368840 461050 737680 922100 1152625 1844200 2305250 3688400 4610500 9221000 18442000