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442580717 = 3747307829
BaseRepresentation
bin11010011000010…
…011111011101101
31010211210102121102
4122120103323231
51401300040332
6111530012445
713652605535
oct3230237355
91124712542
10442580717
11207909497
12104277125
13708cc9a7
1442aca4c5
1528cc5062
hex1a613eed

442580717 has 16 divisors (see below), whose sum is σ = 466287360. Its totient is φ = 419577408.

The previous prime is 442580711. The next prime is 442580767. The reversal of 442580717 is 717085244.

It is a cyclic number.

It is not a de Polignac number, because 442580717 - 216 = 442515181 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 (442580711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533459 + ... + 534287.

It is an arithmetic number, because the mean of its divisors is an integer number (29142960).

Almost surely, 2442580717 is an apocalyptic number.

442580717 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

442580717 is a deficient number, since it is larger than the sum of its proper divisors (23706643).

442580717 is a wasteful number, since it uses less digits than its factorization.

442580717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220.

The product of its (nonzero) digits is 62720, while the sum is 38.

The square root of 442580717 is about 21037.6024537018. The cubic root of 442580717 is about 762.0746161573.

The spelling of 442580717 in words is "four hundred forty-two million, five hundred eighty thousand, seven hundred seventeen".

Divisors: 1 37 47 307 829 1739 11359 14429 30673 38963 254503 533873 1441631 9416611 11961641 442580717