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448065 = 3353319
BaseRepresentation
bin1101101011001000001
3211202122000
41231121001
5103314230
613334213
73544212
oct1553101
9752560
10448065
11286702
12197369
13128c37
14b9409
158cb60
hex6d641

448065 has 16 divisors (see below), whose sum is σ = 796800. Its totient is φ = 238896.

The previous prime is 448057. The next prime is 448067. The reversal of 448065 is 560844.

It is not a de Polignac number, because 448065 - 23 = 448057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

448065 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448065.

It is not an unprimeable number, because it can be changed into a prime (448067) 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, 1525 + ... + 1794.

It is an arithmetic number, because the mean of its divisors is an integer number (49800).

2448065 is an apocalyptic number.

448065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

448065 is a deficient number, since it is larger than the sum of its proper divisors (348735).

448065 is a wasteful number, since it uses less digits than its factorization.

448065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 448065 is about 669.3765756284. The cubic root of 448065 is about 76.5209477429.

The spelling of 448065 in words is "four hundred forty-eight thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 135 3319 9957 16595 29871 49785 89613 149355 448065