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12442000 = 24536221
BaseRepresentation
bin101111011101…
…100110010000
3212102010012211
4233131212100
511141121000
61122401504
7210520024
oct57354620
925363184
1012442000
11702894a
124200294
13276823c
14191c384
15115b7ba
hexbdd990

12442000 has 40 divisors (see below), whose sum is σ = 30089592. Its totient is φ = 4976000.

The previous prime is 12441997. The next prime is 12442019. The reversal of 12442000 is 24421.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 9511056 = 1712^2 + 3084^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1111 + ... + 5110.

Almost surely, 212442000 is an apocalyptic number.

12442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12442000 is an abundant number, since it is smaller than the sum of its proper divisors (17647592).

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

12442000 is an equidigital number, since it uses as much as digits as its factorization.

12442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 12442000 is about 3527.3219303035. The cubic root of 12442000 is about 231.7199355333.

Adding to 12442000 its reverse (24421), we get a palindrome (12466421).

It can be divided in two parts, 124 and 42000, that added together give a palindrome (42124).

The spelling of 12442000 in words is "twelve 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 6221 12442 24884 31105 49768 62210 99536 124420 155525 248840 311050 497680 622100 777625 1244200 1555250 2488400 3110500 6221000 12442000