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444725320 = 23513855241
BaseRepresentation
bin11010100000011…
…111100001001000
31010222211101110011
4122200133201020
51402322202240
6112044001304
714010050164
oct3240374110
91128741404
10444725320
11209043796
12104b30234
13711a0ba0
14430c7ca4
152909a6ea
hex1a81f848

444725320 has 32 divisors (see below), whose sum is σ = 1077604920. Its totient is φ = 164206080.

The previous prime is 444725299. The next prime is 444725377. The reversal of 444725320 is 23527444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 350363524 + 94361796 = 18718^2 + 9714^2 .

It is a super-2 number, since 2×4447253202 = 395561220498204800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427101 + ... + 428140.

Almost surely, 2444725320 is an apocalyptic number.

444725320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444725320 is an abundant number, since it is smaller than the sum of its proper divisors (632879600).

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

444725320 is a wasteful number, since it uses less digits than its factorization.

444725320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855265 (or 855261 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 31.

The square root of 444725320 is about 21088.5115643566. The cubic root of 444725320 is about 763.3035556398.

The spelling of 444725320 in words is "four hundred forty-four million, seven hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 855241 1710482 3420964 4276205 6841928 8552410 11118133 17104820 22236266 34209640 44472532 55590665 88945064 111181330 222362660 444725320