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445090008 = 233115692963
BaseRepresentation
bin11010100001111…
…000100011011000
31011000111220201010
4122201320203120
51402420340013
6112055453520
714013126336
oct3241704330
91130456633
10445090008
11209272790
121050872a0
137129ab8c
1443180b56
152911d7c3
hex1a8788d8

445090008 has 64 divisors (see below), whose sum is σ = 1216425600. Its totient is φ = 134593280.

The previous prime is 445090007. The next prime is 445090013. The reversal of 445090008 is 800090544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445090007) 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 15 ways as a sum of consecutive naturals, for example, 148735 + ... + 151697.

It is an arithmetic number, because the mean of its divisors is an integer number (19006650).

Almost surely, 2445090008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445090008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608212800).

445090008 is an abundant number, since it is smaller than the sum of its proper divisors (771335592).

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

445090008 is a wasteful number, since it uses less digits than its factorization.

445090008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 445090008 is about 21097.1563960644. The cubic root of 445090008 is about 763.5121425130.

The spelling of 445090008 in words is "four hundred forty-five million, ninety thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 569 1138 1707 2276 2963 3414 4552 5926 6259 6828 8889 11852 12518 13656 17778 18777 23704 25036 32593 35556 37554 50072 65186 71112 75108 97779 130372 150216 195558 260744 391116 782232 1685947 3371894 5057841 6743788 10115682 13487576 18545417 20231364 37090834 40462728 55636251 74181668 111272502 148363336 222545004 445090008