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445284 = 223371931
BaseRepresentation
bin1101100101101100100
3211121211000
41230231210
5103222114
613313300
73533130
oct1545544
9747730
10445284
11284604
12195830
131278a8
14b83c0
158be09
hex6cb64

445284 has 96 divisors (see below), whose sum is σ = 1433600. Its totient is φ = 116640.

The previous prime is 445283. The next prime is 445297. The reversal of 445284 is 482544.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14349 + ... + 14379.

2445284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716800).

445284 is an abundant number, since it is smaller than the sum of its proper divisors (988316).

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

445284 is a wasteful number, since it uses less digits than its factorization.

445284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

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

The square root of 445284 is about 667.2960362538. The cubic root of 445284 is about 76.3623051716.

It can be divided in two parts, 445 and 284, that added together give a 6-th power (729 = 36).

The spelling of 445284 in words is "four hundred forty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 31 36 38 42 54 57 62 63 76 84 93 108 114 124 126 133 171 186 189 217 228 252 266 279 342 372 378 399 434 513 532 558 589 651 684 756 798 837 868 1026 1116 1178 1197 1302 1596 1674 1767 1953 2052 2356 2394 2604 3348 3534 3591 3906 4123 4788 5301 5859 7068 7182 7812 8246 10602 11718 12369 14364 15903 16492 21204 23436 24738 31806 37107 49476 63612 74214 111321 148428 222642 445284