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444201072 = 24372188861
BaseRepresentation
bin11010011110011…
…111100001110000
31010221211202022120
4122132133201300
51402203413242
6112024434240
714002434600
oct3236374160
91127752276
10444201072
11208815927
12104918980
1371049393
1442dccc00
1528ee51ec
hex1a79f870

444201072 has 60 divisors (see below), whose sum is σ = 1334876616. Its totient is φ = 126913920.

The previous prime is 444201067. The next prime is 444201073. The reversal of 444201072 is 270102444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444201073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92079 + ... + 96782.

Almost surely, 2444201072 is an apocalyptic number.

444201072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

444201072 is an abundant number, since it is smaller than the sum of its proper divisors (890675544).

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

444201072 is a wasteful number, since it uses less digits than its factorization.

444201072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188886 (or 188873 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 444201072 is about 21076.0781930605. The cubic root of 444201072 is about 763.0035069839.

The spelling of 444201072 in words is "four hundred forty-four million, two hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 188861 377722 566583 755444 1133166 1322027 1510888 2266332 2644054 3021776 3966081 4532664 5288108 7932162 9065328 9254189 10576216 15864324 18508378 21152432 27762567 31728648 37016756 55525134 63457296 74033512 111050268 148067024 222100536 444201072