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442125 = 3353131
BaseRepresentation
bin1101011111100001101
3211110111000
41223330031
5103122000
613250513
73520665
oct1537415
9743430
10442125
112821a2
12193a39
13126318
14b71a5
158b000
hex6bf0d

442125 has 32 divisors (see below), whose sum is σ = 823680. Its totient is φ = 234000.

The previous prime is 442121. The next prime is 442139. The reversal of 442125 is 521244.

It is not a de Polignac number, because 442125 - 22 = 442121 is a prime.

It is a Curzon number.

442125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 442098 and 442107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3310 + ... + 3440.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

2442125 is an apocalyptic number.

442125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442125 is a deficient number, since it is larger than the sum of its proper divisors (381555).

442125 is a wasteful number, since it uses less digits than its factorization.

442125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 442125 is about 664.9248077790. The cubic root of 442125 is about 76.1812961720.

Adding to 442125 its reverse (521244), we get a palindrome (963369).

The spelling of 442125 in words is "four hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 131 135 225 375 393 655 675 1125 1179 1965 3275 3375 3537 5895 9825 16375 17685 29475 49125 88425 147375 442125