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448396965 = 365123017
BaseRepresentation
bin11010101110011…
…111111010100101
31011020201221000000
4122232133322211
51404242200330
6112254411513
714053211532
oct3256377245
91136657000
10448396965
11210121305
12106200b99
1371b88163
14437a1d89
1529573560
hex1ab9fea5

448396965 has 28 divisors (see below), whose sum is σ = 806752044. Its totient is φ = 239143104.

The previous prime is 448396961. The next prime is 448396987. The reversal of 448396965 is 569693844.

It can be written as a sum of positive squares in 2 ways, for example, as 217326564 + 231070401 = 14742^2 + 15201^2 .

It is not a de Polignac number, because 448396965 - 22 = 448396961 is a prime.

It is a super-2 number, since 2×4483969652 = 402119676442422450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448396961) 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 27 ways as a sum of consecutive naturals, for example, 57864 + ... + 65153.

It is an arithmetic number, because the mean of its divisors is an integer number (28812573).

Almost surely, 2448396965 is an apocalyptic number.

448396965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

448396965 is a deficient number, since it is larger than the sum of its proper divisors (358355079).

448396965 is an equidigital number, since it uses as much as digits as its factorization.

448396965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123040 (or 123025 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 448396965 is about 21175.3858288344. The cubic root of 448396965 is about 765.3984083917.

The spelling of 448396965 in words is "four hundred forty-eight million, three hundred ninety-six thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 123017 369051 615085 1107153 1845255 3321459 5535765 9964377 16607295 29893131 49821885 89679393 149465655 448396965