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448312313 = 37891091249
BaseRepresentation
bin11010101110001…
…011001111111001
31011020120121212202
4122232023033321
51404231443223
6112252515545
714052406661
oct3256131771
91136517782
10448312313
11210073749
1210617bbb5
1371b58777
144377d1a1
1529558428
hex1ab8b3f9

448312313 has 16 divisors (see below), whose sum is σ = 470250000. Its totient is φ = 426995712.

The previous prime is 448312307. The next prime is 448312339. The reversal of 448312313 is 313213844.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6135529 + 442176784 = 2477^2 + 21028^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-448312313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (448314313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358313 + ... + 359561.

It is an arithmetic number, because the mean of its divisors is an integer number (29390625).

Almost surely, 2448312313 is an apocalyptic number.

It is an amenable number.

448312313 is a deficient number, since it is larger than the sum of its proper divisors (21937687).

448312313 is a wasteful number, since it uses less digits than its factorization.

448312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484.

The product of its digits is 6912, while the sum is 29.

The square root of 448312313 is about 21173.3869043193. The cubic root of 448312313 is about 765.3502393296.

The spelling of 448312313 in words is "four hundred forty-eight million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 37 89 109 1249 3293 4033 9701 46213 111161 136141 358937 4112957 5037217 12116549 448312313