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444332457 = 32411204153
BaseRepresentation
bin11010011110111…
…111100110101001
31010222002102112200
4122132333212221
51402222114312
6112031330413
714003522622
oct3236774651
91128072480
10444332457
112088a5608
12104980a09
137109411a
1443024a49
152901e0dc
hex1a7bf9a9

444332457 has 12 divisors (see below), whose sum is σ = 657468084. Its totient is φ = 288996480.

The previous prime is 444332429. The next prime is 444332489. The reversal of 444332457 is 754233444.

It can be written as a sum of positive squares in 2 ways, for example, as 121088016 + 323244441 = 11004^2 + 17979^2 .

It is not a de Polignac number, because 444332457 - 227 = 310114729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444332257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601708 + ... + 602445.

It is an arithmetic number, because the mean of its divisors is an integer number (54789007).

Almost surely, 2444332457 is an apocalyptic number.

It is an amenable number.

444332457 is a deficient number, since it is larger than the sum of its proper divisors (213135627).

444332457 is a wasteful number, since it uses less digits than its factorization.

444332457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204200 (or 1204197 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 444332457 is about 21079.1948850045. The cubic root of 444332457 is about 763.0787261733.

The spelling of 444332457 in words is "four hundred forty-four million, three hundred thirty-two thousand, four hundred fifty-seven".

Divisors: 1 3 9 41 123 369 1204153 3612459 10837377 49370273 148110819 444332457