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442845 = 32513757
BaseRepresentation
bin1101100000111011101
3211111110200
41230013131
5103132340
613254113
73523044
oct1540735
9744420
10442845
11282797
12194339
13126750
14b755b
158b330
hex6c1dd

442845 has 24 divisors (see below), whose sum is σ = 827736. Its totient is φ = 217728.

The previous prime is 442843. The next prime is 442861. The reversal of 442845 is 548244.

It can be written as a sum of positive squares in 4 ways, for example, as 15129 + 427716 = 123^2 + 654^2 .

It is not a de Polignac number, because 442845 - 21 = 442843 is a prime.

It is a super-2 number, since 2×4428452 = 392223388050, which contains 22 as substring.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442845.

It is not an unprimeable number, because it can be changed into a prime (442843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (34489).

2442845 is an apocalyptic number.

442845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442845 is a deficient number, since it is larger than the sum of its proper divisors (384891).

442845 is a wasteful number, since it uses less digits than its factorization.

442845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 778 counting only the distinct ones).

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

The square root of 442845 is about 665.4660021368. The cubic root of 442845 is about 76.2226274588. Note that the first 3 decimals are identical.

It can be divided in two parts, 4 and 42845, that added together give a square (42849 = 2072).

The spelling of 442845 in words is "four hundred forty-two thousand, eight hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 757 2271 3785 6813 9841 11355 29523 34065 49205 88569 147615 442845