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442242020 = 225112010191
BaseRepresentation
bin11010010111000…
…001001111100100
31010211011020000002
4122113001033210
51401203221040
6111514440432
713646665223
oct3227011744
91124136002
10442242020
112076a7a80
12104133118
137081178c
1442a3ccba
1528c59a15
hex1a5c13e4

442242020 has 24 divisors (see below), whose sum is σ = 1013136768. Its totient is φ = 160815200.

The previous prime is 442241977. The next prime is 442242023. The reversal of 442242020 is 20242244.

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

It is a junction number, because it is equal to n+sod(n) for n = 442241983 and 442242001.

It is not an unprimeable number, because it can be changed into a prime (442242023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1004876 + ... + 1005315.

It is an arithmetic number, because the mean of its divisors is an integer number (42214032).

Almost surely, 2442242020 is an apocalyptic number.

It is an amenable number.

442242020 is an abundant number, since it is smaller than the sum of its proper divisors (570894748).

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

442242020 is a wasteful number, since it uses less digits than its factorization.

442242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010211 (or 2010209 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 442242020 is about 21029.5511126605. The cubic root of 442242020 is about 761.8801670645.

Adding to 442242020 its reverse (20242244), we get a palindrome (462484264).

The spelling of 442242020 in words is "four hundred forty-two million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2010191 4020382 8040764 10050955 20101910 22112101 40203820 44224202 88448404 110560505 221121010 442242020