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442244 = 221119232
BaseRepresentation
bin1101011111110000100
3211110122102
41223332010
5103122434
613251232
73521225
oct1537604
9743572
10442244
112822a0
12193b18
131263aa
14b724c
158b07e
hex6bf84

442244 has 36 divisors (see below), whose sum is σ = 929040. Its totient is φ = 182160.

The previous prime is 442243. The next prime is 442271.

442244 is nontrivially palindromic in base 10.

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (442243) 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 11 ways as a sum of consecutive naturals, for example, 19217 + ... + 19239.

It is a self-describing number.

2442244 is an apocalyptic number.

442244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442244 is an abundant number, since it is smaller than the sum of its proper divisors (486796).

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

442244 is a wasteful number, since it uses less digits than its factorization.

442244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its digits is 1024, while the sum is 20.

The square root of 442244 is about 665.0142855608. The cubic root of 442244 is about 76.1881304089.

The spelling of 442244 in words is "four hundred forty-two thousand, two hundred forty-four", and is thus an iban number.

Divisors: 1 2 4 11 19 22 23 38 44 46 76 92 209 253 418 437 506 529 836 874 1012 1058 1748 2116 4807 5819 9614 10051 11638 19228 20102 23276 40204 110561 221122 442244