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449360720 = 2455617009
BaseRepresentation
bin11010110010001…
…011001101010000
31011022112220000122
4122302023031100
51410014020340
6112331205412
714064334364
oct3262131520
91138486018
10449360720
1121071a3a6
121065a6868
1372134a23
14439732a4
15296b3db5
hex1ac8b350

449360720 has 20 divisors (see below), whose sum is σ = 1044763860. Its totient is φ = 179744256.

The previous prime is 449360719. The next prime is 449360767. The reversal of 449360720 is 27063944.

It can be written as a sum of positive squares in 2 ways, for example, as 244985104 + 204375616 = 15652^2 + 14296^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2808425 + ... + 2808584.

It is an arithmetic number, because the mean of its divisors is an integer number (52238193).

Almost surely, 2449360720 is an apocalyptic number.

449360720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449360720 is an abundant number, since it is smaller than the sum of its proper divisors (595403140).

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

449360720 is a wasteful number, since it uses less digits than its factorization.

449360720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617022 (or 5617016 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 449360720 is about 21198.1301062146. The cubic root of 449360720 is about 765.9463816837.

The spelling of 449360720 in words is "four hundred forty-nine million, three hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5617009 11234018 22468036 28085045 44936072 56170090 89872144 112340180 224680360 449360720