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448965 = 32511907
BaseRepresentation
bin1101101100111000101
3211210212100
41231213011
5103331330
613342313
73546636
oct1554705
9753770
10448965
11287350
12197999
1312947a
14b988d
158d060
hex6d9c5

448965 has 24 divisors (see below), whose sum is σ = 849888. Its totient is φ = 217440.

The previous prime is 448939. The next prime is 448969. The reversal of 448965 is 569844.

It is not a de Polignac number, because 448965 - 212 = 444869 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448965.

It is not an unprimeable number, because it can be changed into a prime (448969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (35412).

2448965 is an apocalyptic number.

448965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

448965 is a deficient number, since it is larger than the sum of its proper divisors (400923).

448965 is a wasteful number, since it uses less digits than its factorization.

448965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 926 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 448965 is about 670.0485057069. The cubic root of 448965 is about 76.5721477499.

It can be divided in two parts, 4489 and 65, that added together give a palindrome (4554).

The spelling of 448965 in words is "four hundred forty-eight thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 907 2721 4535 8163 9977 13605 29931 40815 49885 89793 149655 448965