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1442441 = 711213131
BaseRepresentation
bin101100000001010001001
32201021122202
411200022021
5332124231
650525545
715155240
oct5401211
92637582
101442441
118a5800
125968b5
133b6720
14297957
151d75cb
hex160289

1442441 has 24 divisors (see below), whose sum is σ = 1966272. Its totient is φ = 1029600.

The previous prime is 1442437. The next prime is 1442453.

1442441 = T78 + T79 + ... + T208.

It is a happy number.

1442441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1442441 - 22 = 1442437 is a prime.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1442411) 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 23 ways as a sum of consecutive naturals, for example, 10946 + ... + 11076.

It is an arithmetic number, because the mean of its divisors is an integer number (81928).

21442441 is an apocalyptic number.

1442441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1442441 is a deficient number, since it is larger than the sum of its proper divisors (523831).

1442441 is a wasteful number, since it uses less digits than its factorization.

1442441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 1442441 is about 1201.0166526739. The cubic root of 1442441 is about 112.9880949162.

The spelling of 1442441 in words is "one million, four hundred forty-two thousand, four hundred forty-one".

Divisors: 1 7 11 13 77 91 121 131 143 847 917 1001 1441 1573 1703 10087 11011 11921 15851 18733 110957 131131 206063 1442441