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444904068 = 223747112691
BaseRepresentation
bin11010100001001…
…011001010000100
31011000011110122110
4122201023022010
51402343412233
6112051501020
714011423260
oct3241131204
91130143573
10444904068
11209156014
12104bb7770
137123435b
14431330a0
15290d3663
hex1a84b284

444904068 has 48 divisors (see below), whose sum is σ = 1211664384. Its totient is φ = 124409760.

The previous prime is 444904043. The next prime is 444904123. The reversal of 444904068 is 860409444.

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 15 ways as a sum of consecutive naturals, for example, 52398 + ... + 60293.

It is an arithmetic number, because the mean of its divisors is an integer number (25243008).

Almost surely, 2444904068 is an apocalyptic number.

It is an amenable number.

444904068 is an abundant number, since it is smaller than the sum of its proper divisors (766760316).

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

444904068 is a wasteful number, since it uses less digits than its factorization.

444904068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112752 (or 112750 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 444904068 is about 21092.7491807019. The cubic root of 444904068 is about 763.4058065516.

The spelling of 444904068 in words is "four hundred forty-four million, nine hundred four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 3948 112691 225382 338073 450764 676146 788837 1352292 1577674 2366511 3155348 4733022 5296477 9466044 10592954 15889431 21185908 31778862 37075339 63557724 74150678 111226017 148301356 222452034 444904068