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445568 = 27592
BaseRepresentation
bin1101100110010000000
3211122012112
41230302000
5103224233
613314452
73534014
oct1546200
9748175
10445568
11284842
12195a28
13127a66
14b8544
158c048
hex6cc80

445568 has 24 divisors (see below), whose sum is σ = 902955. Its totient is φ = 219008.

The previous prime is 445567. The next prime is 445573. The reversal of 445568 is 865544.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 222784 = 472^2 + 472^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=472.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a plaindrome in base 10.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (445567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7523 + ... + 7581.

2445568 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 445568

445568 is an abundant number, since it is smaller than the sum of its proper divisors (457387).

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

445568 is an frugal number, since it uses more digits than its factorization.

445568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 61 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 445568 is about 667.5088014401. The cubic root of 445568 is about 76.3785362254.

Multiplying 445568 by its sum of digits (32), we get a square (14258176 = 37762).

445568 divided by its sum of digits (32) gives a square (13924 = 1182).

The spelling of 445568 in words is "four hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 3481 3776 6962 7552 13924 27848 55696 111392 222784 445568