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448000201 = 11217217793
BaseRepresentation
bin11010101100111…
…111000011001001
31011012222202202001
4122230333003021
51404142001301
6112242111001
714046640015
oct3254770311
91135882661
10448000201
1120a980200
1210604b461
1371a7969c
14436db545
15294e5c01
hex1ab3f0c9

448000201 has 12 divisors (see below), whose sum is σ = 521398836. Its totient is φ = 383313920.

The previous prime is 448000199. The next prime is 448000211. The reversal of 448000201 is 102000844.

It can be written as a sum of positive squares in 2 ways, for example, as 169911225 + 278088976 = 13035^2 + 16676^2 .

It is not a de Polignac number, because 448000201 - 21 = 448000199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (448000211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106840 + ... + 110953.

It is an arithmetic number, because the mean of its divisors is an integer number (43449903).

Almost surely, 2448000201 is an apocalyptic number.

It is an amenable number.

448000201 is a deficient number, since it is larger than the sum of its proper divisors (73398635).

448000201 is a wasteful number, since it uses less digits than its factorization.

448000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217832 (or 217821 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 448000201 is about 21166.0152366949. The cubic root of 448000201 is about 765.1725875432.

The spelling of 448000201 in words is "four hundred forty-eight million, two hundred one", and thus it is an aban number.

Divisors: 1 11 17 121 187 2057 217793 2395723 3702481 26352953 40727291 448000201