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442481 = 13101337
BaseRepresentation
bin1101100000001110001
3211110222012
41230001301
5103124411
613252305
73522014
oct1540161
9743865
10442481
11282496
12194095
13126530
14b737b
158b18b
hex6c071

442481 has 8 divisors (see below), whose sum is σ = 482664. Its totient is φ = 403200.

The previous prime is 442469. The next prime is 442487. The reversal of 442481 is 184244.

442481 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 58081 + 384400 = 241^2 + 620^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 442481 - 218 = 180337 is a prime.

It is a super-2 number, since 2×4424812 = 391578870722, which contains 22 as substring.

442481 is a modest number, since divided by 481 gives 442 as remainder.

It is not an unprimeable number, because it can be changed into a prime (442487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1145 + ... + 1481.

It is an arithmetic number, because the mean of its divisors is an integer number (60333).

2442481 is an apocalyptic number.

It is an amenable number.

442481 is a deficient number, since it is larger than the sum of its proper divisors (40183).

442481 is a wasteful number, since it uses less digits than its factorization.

442481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451.

The product of its digits is 1024, while the sum is 23.

The square root of 442481 is about 665.1924533547. The cubic root of 442481 is about 76.2017378009.

The spelling of 442481 in words is "four hundred forty-two thousand, four hundred eighty-one".

Divisors: 1 13 101 337 1313 4381 34037 442481