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442112420 = 22597227893
BaseRepresentation
bin11010010110100…
…001100110100100
31010210220122020002
4122112201212210
51401140044140
6111512000432
713645615331
oct3226414644
91123818202
10442112420
11207619672
12104090118
13707977a9
1442a07988
1528c31415
hex1a5a19a4

442112420 has 24 divisors (see below), whose sum is σ = 938011704. Its totient is φ = 175021056.

The previous prime is 442112401. The next prime is 442112423. The reversal of 442112420 is 24211244.

It can be written as a sum of positive squares in 4 ways, for example, as 65674816 + 376437604 = 8104^2 + 19402^2 .

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 = 442112392 and 442112401.

It is not an unprimeable number, because it can be changed into a prime (442112423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 112007 + ... + 115886.

It is an arithmetic number, because the mean of its divisors is an integer number (39083821).

Almost surely, 2442112420 is an apocalyptic number.

It is an amenable number.

442112420 is an abundant number, since it is smaller than the sum of its proper divisors (495899284).

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

442112420 is a wasteful number, since it uses less digits than its factorization.

442112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227999 (or 227997 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 442112420 is about 21026.4695086931. The cubic root of 442112420 is about 761.8057362385.

Adding to 442112420 its reverse (24211244), we get a palindrome (466323664).

The spelling of 442112420 in words is "four hundred forty-two million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 227893 455786 911572 1139465 2278930 4557860 22105621 44211242 88422484 110528105 221056210 442112420