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445005 = 325112931
BaseRepresentation
bin1101100101001001101
3211121102200
41230221031
5103220010
613312113
73532251
oct1545115
9747380
10445005
11284380
12195639
13127722
14b8261
158bcc0
hex6ca4d

445005 has 48 divisors (see below), whose sum is σ = 898560. Its totient is φ = 201600.

The previous prime is 445001. The next prime is 445019. The reversal of 445005 is 500544.

It is a happy number.

It is not a de Polignac number, because 445005 - 22 = 445001 is a prime.

It is a Curzon number.

445005 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14340 + ... + 14370.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2445005 is an apocalyptic number.

445005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

445005 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

445005 is a wasteful number, since it uses less digits than its factorization.

445005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 445005 is about 667.0869508542. The cubic root of 445005 is about 76.3463531542.

Adding to 445005 its reverse (500544), we get a palindrome (945549).

The spelling of 445005 in words is "four hundred forty-five thousand, five".

Divisors: 1 3 5 9 11 15 29 31 33 45 55 87 93 99 145 155 165 261 279 319 341 435 465 495 899 957 1023 1305 1395 1595 1705 2697 2871 3069 4495 4785 5115 8091 9889 13485 14355 15345 29667 40455 49445 89001 148335 445005