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444740096 = 291735021
BaseRepresentation
bin11010100000100…
…011001000000000
31010222212010201102
4122200203020000
51402323140341
6112044153532
714010141233
oct3240431000
91128763642
10444740096
112090538a9
12104b388a8
13711a7828
14430cd41a
152909ec9b
hex1a823200

444740096 has 40 divisors (see below), whose sum is σ = 893926044. Its totient is φ = 221040640.

The previous prime is 444740083. The next prime is 444740113. The reversal of 444740096 is 690047444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 351037696 + 93702400 = 18736^2 + 9680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86066 + ... + 91086.

Almost surely, 2444740096 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 444740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446963022).

444740096 is an abundant number, since it is smaller than the sum of its proper divisors (449185948).

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

444740096 is an equidigital number, since it uses as much as digits as its factorization.

444740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 444740096 is about 21088.8618943745. The cubic root of 444740096 is about 763.3120091338.

The spelling of 444740096 in words is "four hundred forty-four million, seven hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 692 1384 2768 5021 5536 10042 11072 20084 22144 40168 44288 80336 88576 160672 321344 642688 868633 1285376 1737266 2570752 3474532 6949064 13898128 27796256 55592512 111185024 222370048 444740096