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445209768 = 23326183469
BaseRepresentation
bin11010100010010…
…101110010101000
31011000201222222200
4122202111302220
51402433203033
6112102220200
714014135443
oct3242256250
91130658880
10445209768
11209344763
12105124660
1371310543
14431b265a
1529144013
hex1a895ca8

445209768 has 24 divisors (see below), whose sum is σ = 1205776650. Its totient is φ = 148403232.

The previous prime is 445209763. The next prime is 445209799. The reversal of 445209768 is 867902544.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 360164484 + 85045284 = 18978^2 + 9222^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×4452097682 = 396423475045227648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (445209763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3091663 + ... + 3091806.

Almost surely, 2445209768 is an apocalyptic number.

It is an amenable number.

445209768 is an abundant number, since it is smaller than the sum of its proper divisors (760566882).

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

445209768 is a wasteful number, since it uses less digits than its factorization.

445209768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183481 (or 6183474 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 445209768 is about 21099.9945023690. The cubic root of 445209768 is about 763.5806155654.

The spelling of 445209768 in words is "four hundred forty-five million, two hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6183469 12366938 18550407 24733876 37100814 49467752 55651221 74201628 111302442 148403256 222604884 445209768