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444001201 = 729061249
BaseRepresentation
bin11010011101101…
…110101110110001
31010221110121010221
4122131232232301
51402131014301
6112020253041
714000643100
oct3235565661
91127417127
10444001201
11208699746
12104841181
1370ca9407
1442d7a037
1528ea5da1
hex1a76ebb1

444001201 has 6 divisors (see below), whose sum is σ = 516491250. Its totient is φ = 380572416.

The previous prime is 444001199. The next prime is 444001211. The reversal of 444001201 is 102100444.

It can be written as a sum of positive squares in only one way, i.e., 412090000 + 31911201 = 20300^2 + 5649^2 .

It is not a de Polignac number, because 444001201 - 21 = 444001199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444001211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4530576 + ... + 4530673.

It is an arithmetic number, because the mean of its divisors is an integer number (86081875).

Almost surely, 2444001201 is an apocalyptic number.

It is an amenable number.

444001201 is a deficient number, since it is larger than the sum of its proper divisors (72490049).

444001201 is an equidigital number, since it uses as much as digits as its factorization.

444001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061263 (or 9061256 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 444001201 is about 21071.3360041550. The cubic root of 444001201 is about 762.8890504442.

Adding to 444001201 its reverse (102100444), we get a palindrome (546101645).

The spelling of 444001201 in words is "four hundred forty-four million, one thousand, two hundred one".

Divisors: 1 7 49 9061249 63428743 444001201