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442241325 = 32521965517
BaseRepresentation
bin11010010111000…
…001000100101101
31010211011012001100
4122113001010231
51401203210300
6111514433313
713646663211
oct3227010455
91124135040
10442241325
112076a74a9
12104132839
1370811376
1442a3c941
1528c59700
hex1a5c112d

442241325 has 18 divisors (see below), whose sum is σ = 792103754. Its totient is φ = 235861920.

The previous prime is 442241323. The next prime is 442241341. The reversal of 442241325 is 523142244.

It can be written as a sum of positive squares in 3 ways, for example, as 98843364 + 343397961 = 9942^2 + 18531^2 .

It is not a de Polignac number, because 442241325 - 21 = 442241323 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442241323) 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 17 ways as a sum of consecutive naturals, for example, 982534 + ... + 982983.

Almost surely, 2442241325 is an apocalyptic number.

442241325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442241325 is a deficient number, since it is larger than the sum of its proper divisors (349862429).

442241325 is a wasteful number, since it uses less digits than its factorization.

442241325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965533 (or 1965525 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 442241325 is about 21029.5345882880. The cubic root of 442241325 is about 761.8797679564.

Adding to 442241325 its reverse (523142244), we get a palindrome (965383569).

The spelling of 442241325 in words is "four hundred forty-two million, two hundred forty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1965517 5896551 9827585 17689653 29482755 49137925 88448265 147413775 442241325