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442530 = 233511149
BaseRepresentation
bin1101100000010100010
3211111001000
41230002202
5103130110
613252430
73522114
oct1540242
9744030
10442530
11282530
12194116
1312656a
14b73b4
158b1c0
hex6c0a2

442530 has 64 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 106560.

The previous prime is 442517. The next prime is 442531. The reversal of 442530 is 35244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442531) by changing a digit.

442530 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 31 ways as a sum of consecutive naturals, for example, 2896 + ... + 3044.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2442530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

442530 is an abundant number, since it is smaller than the sum of its proper divisors (853470).

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

442530 is a wasteful number, since it uses less digits than its factorization.

442530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 442530 is about 665.2292837812. The cubic root of 442530 is about 76.2045505373.

Adding to 442530 its reverse (35244), we get a palindrome (477774).

The spelling of 442530 in words is "four hundred forty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 149 165 198 270 297 298 330 447 495 594 745 894 990 1341 1485 1490 1639 2235 2682 2970 3278 4023 4470 4917 6705 8046 8195 9834 13410 14751 16390 20115 24585 29502 40230 44253 49170 73755 88506 147510 221265 442530