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442520 = 235132337
BaseRepresentation
bin1101100000010011000
3211111000122
41230002120
5103130040
613252412
73522101
oct1540230
9744018
10442520
11282521
12194108
13126560
14b73a8
158b1b5
hex6c098

442520 has 64 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 152064.

The previous prime is 442517. The next prime is 442531. The reversal of 442520 is 25244.

Adding to 442520 its reverse (25244), we get a palindrome (467764).

It can be divided in two parts, 4 and 42520, that added together give a palindrome (42524).

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 11942 + ... + 11978.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2442520 is an apocalyptic number.

442520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

442520 is an abundant number, since it is smaller than the sum of its proper divisors (706600).

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

442520 is a wasteful number, since it uses less digits than its factorization.

442520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 442520 is about 665.2217675332. The cubic root of 442520 is about 76.2039765264.

The spelling of 442520 in words is "four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 37 40 46 52 65 74 92 104 115 130 148 184 185 230 260 296 299 370 460 481 520 598 740 851 920 962 1196 1480 1495 1702 1924 2392 2405 2990 3404 3848 4255 4810 5980 6808 8510 9620 11063 11960 17020 19240 22126 34040 44252 55315 88504 110630 221260 442520