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442248 = 23318427
BaseRepresentation
bin1101011111110001000
3211110122120
41223332020
5103122443
613251240
73521232
oct1537610
9743576
10442248
112822a4
12193b20
131263b1
14b7252
158b083
hex6bf88

442248 has 16 divisors (see below), whose sum is σ = 1105680. Its totient is φ = 147408.

The previous prime is 442243. The next prime is 442271. The reversal of 442248 is 842244.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 18427 = 442248 / (4 + 4 + 2 + 2 + 4 + 8).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (442243) by changing a digit.

442248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 9190 + ... + 9237.

It is an arithmetic number, because the mean of its divisors is an integer number (69105).

2442248 is an apocalyptic number.

It is an amenable number.

442248 is an abundant number, since it is smaller than the sum of its proper divisors (663432).

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

442248 is a wasteful number, since it uses less digits than its factorization.

442248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18436 (or 18432 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 442248 is about 665.0172930082. The cubic root of 442248 is about 76.1883601099.

The spelling of 442248 in words is "four hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 18427 36854 55281 73708 110562 147416 221124 442248