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442466001 = 32436118743
BaseRepresentation
bin11010010111110…
…111111011010001
31010211120121020200
4122113313323101
51401232403001
6111523325413
713651620225
oct3227677321
91124517220
10442466001
1120784028a
12104220869
137088c703
1442a9a785
1528ca1086
hex1a5f7ed1

442466001 has 24 divisors (see below), whose sum is σ = 664737216. Its totient is φ = 283379040.

The previous prime is 442465997. The next prime is 442466009. The reversal of 442466001 is 100664244.

It is not a de Polignac number, because 442466001 - 22 = 442465997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442466009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14236 + ... + 32978.

It is an arithmetic number, because the mean of its divisors is an integer number (27697384).

Almost surely, 2442466001 is an apocalyptic number.

It is an amenable number.

442466001 is a deficient number, since it is larger than the sum of its proper divisors (222271215).

442466001 is a wasteful number, since it uses less digits than its factorization.

442466001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18853 (or 18850 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 442466001 is about 21034.8758256378. The cubic root of 442466001 is about 762.0087677500.

The spelling of 442466001 in words is "four hundred forty-two million, four hundred sixty-six thousand, one".

Divisors: 1 3 9 43 61 129 183 387 549 2623 7869 18743 23607 56229 168687 805949 1143323 2417847 3429969 7253541 10289907 49162889 147488667 442466001