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442513 = 4143251
BaseRepresentation
bin1101100000010010001
3211111000101
41230002101
5103130023
613252401
73522061
oct1540221
9744011
10442513
11282515
12194101
13126556
14b73a1
158b1ad
hex6c091

442513 has 8 divisors (see below), whose sum is σ = 465696. Its totient is φ = 420000.

The previous prime is 442501. The next prime is 442517. The reversal of 442513 is 315244.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442513 is a prime.

It is a d-powerful number, because it can be written as 43 + 49 + 55 + 25 + 1 + 311 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442517) 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 7 ways as a sum of consecutive naturals, for example, 1638 + ... + 1888.

It is an arithmetic number, because the mean of its divisors is an integer number (58212).

2442513 is an apocalyptic number.

442513 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

442513 is a deficient number, since it is larger than the sum of its proper divisors (23183).

442513 is a wasteful number, since it uses less digits than its factorization.

442513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its digits is 480, while the sum is 19.

The square root of 442513 is about 665.2165061091. The cubic root of 442513 is about 76.2035747135.

Adding to 442513 its reverse (315244), we get a palindrome (757757).

The spelling of 442513 in words is "four hundred forty-two thousand, five hundred thirteen".

Divisors: 1 41 43 251 1763 10291 10793 442513