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445842 = 232173147
BaseRepresentation
bin1101100110110010010
3211122120200
41230312102
5103231332
613320030
73534555
oct1546622
9748520
10445842
11284a71
12196016
13127c17
14b869c
158c17c
hex6cd92

445842 has 48 divisors (see below), whose sum is σ = 1078272. Its totient is φ = 132480.

The previous prime is 445829. The next prime is 445847. The reversal of 445842 is 248544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445847) by changing a digit.

445842 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9463 + ... + 9509.

It is an arithmetic number, because the mean of its divisors is an integer number (22464).

2445842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539136).

445842 is an abundant number, since it is smaller than the sum of its proper divisors (632430).

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

445842 is a wasteful number, since it uses less digits than its factorization.

445842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 100 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 445842 is about 667.7140106363. The cubic root of 445842 is about 76.3941892276.

It can be divided in two parts, 44 and 5842, that added together give a triangular number (5886 = T108).

The spelling of 445842 in words is "four hundred forty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 31 34 47 51 62 93 94 102 141 153 186 279 282 306 423 527 558 799 846 1054 1457 1581 1598 2397 2914 3162 4371 4743 4794 7191 8742 9486 13113 14382 24769 26226 49538 74307 148614 222921 445842