Search a number
-
+
442830420 = 223258093041
BaseRepresentation
bin11010011001010…
…000111001010100
31010212021010010200
4122121100321110
51401331033140
6111535220500
713654665534
oct3231207124
91125233120
10442830420
11207a6a05a
12104377730
1370989546
1442b534c4
1528d24030
hex1a650e54

442830420 has 72 divisors (see below), whose sum is σ = 1345354920. Its totient is φ = 117903360.

The previous prime is 442830419. The next prime is 442830457. The reversal of 442830420 is 24038244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 253382724 + 189447696 = 15918^2 + 13764^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144100 + ... + 147140.

It is an arithmetic number, because the mean of its divisors is an integer number (18685485).

Almost surely, 2442830420 is an apocalyptic number.

It is an amenable number.

442830420 is an abundant number, since it is smaller than the sum of its proper divisors (902524500).

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

442830420 is a wasteful number, since it uses less digits than its factorization.

442830420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 442830420 is about 21043.5362997762. The cubic root of 442830420 is about 762.2179094477.

Adding to 442830420 its reverse (24038244), we get a palindrome (466868664).

The spelling of 442830420 in words is "four hundred forty-two million, eight hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 809 1618 2427 3041 3236 4045 4854 6082 7281 8090 9123 9708 12135 12164 14562 15205 16180 18246 24270 27369 29124 30410 36405 36492 45615 48540 54738 60820 72810 91230 109476 136845 145620 182460 273690 547380 2460169 4920338 7380507 9840676 12300845 14761014 22141521 24601690 29522028 36902535 44283042 49203380 73805070 88566084 110707605 147610140 221415210 442830420