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442023500 = 22531276961
BaseRepresentation
bin11010010110001…
…011111001001100
31010210202010020202
4122112023321030
51401124223000
6111510033032
713645065152
oct3226137114
91123663222
10442023500
11207568886
12104048778
1370766189
14429c33d2
1528c14dd5
hex1a58be4c

442023500 has 48 divisors (see below), whose sum is σ = 973120512. Its totient is φ = 175392000.

The previous prime is 442023487. The next prime is 442023523. The reversal of 442023500 is 5320244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60020 + ... + 66980.

It is an arithmetic number, because the mean of its divisors is an integer number (20273344).

Almost surely, 2442023500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442023500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486560256).

442023500 is an abundant number, since it is smaller than the sum of its proper divisors (531097012).

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

442023500 is a wasteful number, since it uses less digits than its factorization.

442023500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 442023500 is about 21024.3549247058. The cubic root of 442023500 is about 761.7546600077.

Adding to 442023500 its reverse (5320244), we get a palindrome (447343744).

The spelling of 442023500 in words is "four hundred forty-two million, twenty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 127 250 254 500 508 635 1270 2540 3175 6350 6961 12700 13922 15875 27844 31750 34805 63500 69610 139220 174025 348050 696100 870125 884047 1740250 1768094 3480500 3536188 4420235 8840470 17680940 22101175 44202350 88404700 110505875 221011750 442023500