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442568 = 23721129
BaseRepresentation
bin1101100000011001000
3211111002102
41230003020
5103130233
613252532
73522200
oct1540310
9744072
10442568
11282565
12194148
13126599
14b7400
158b1e8
hex6c0c8

442568 has 24 divisors (see below), whose sum is σ = 966150. Its totient is φ = 189504.

The previous prime is 442537. The next prime is 442571. The reversal of 442568 is 865244.

It can be written as a sum of positive squares in only one way, i.e., 432964 + 9604 = 658^2 + 98^2 .

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 442568.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 173 + ... + 956.

2442568 is an apocalyptic number.

It is an amenable number.

442568 is an abundant number, since it is smaller than the sum of its proper divisors (523582).

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

442568 is a wasteful number, since it uses less digits than its factorization.

442568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1138 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 442568 is about 665.2578447489. The cubic root of 442568 is about 76.2067317002.

The spelling of 442568 in words is "four hundred forty-two thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 1129 2258 4516 7903 9032 15806 31612 55321 63224 110642 221284 442568