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442664520 = 23353688871
BaseRepresentation
bin11010011000101…
…000011001001000
31010211221200120020
4122120220121020
51401310231040
6111531500440
713653405054
oct3230503110
91124850506
10442664520
11207966451
121042b7720
137092bb8c
1442b0cc64
1528cdecd0
hex1a628648

442664520 has 32 divisors (see below), whose sum is σ = 1327993920. Its totient is φ = 118043840.

The previous prime is 442664507. The next prime is 442664539. The reversal of 442664520 is 25466244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1844316 + ... + 1844555.

It is an arithmetic number, because the mean of its divisors is an integer number (41499810).

Almost surely, 2442664520 is an apocalyptic number.

442664520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442664520 is an abundant number, since it is smaller than the sum of its proper divisors (885329400).

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

442664520 is a wasteful number, since it uses less digits than its factorization.

442664520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688885 (or 3688881 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 442664520 is about 21039.5941025487. The cubic root of 442664520 is about 762.1227129271.

The spelling of 442664520 in words is "four hundred forty-two million, six hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3688871 7377742 11066613 14755484 18444355 22133226 29510968 36888710 44266452 55333065 73777420 88532904 110666130 147554840 221332260 442664520