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442212 = 22343857
BaseRepresentation
bin1101011111101100100
3211110121020
41223331210
5103122322
613251140
73521151
oct1537544
9743536
10442212
11282271
12193ab0
13126384
14b7228
158b05c
hex6bf64

442212 has 24 divisors (see below), whose sum is σ = 1057056. Its totient is φ = 143808.

The previous prime is 442207. The next prime is 442217. The reversal of 442212 is 212244.

It is an interprime number because it is at equal distance from previous prime (442207) and next prime (442217).

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

It is a junction number, because it is equal to n+sod(n) for n = 442191 and 442200.

It is not an unprimeable number, because it can be changed into a prime (442217) 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, 88 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (44044).

2442212 is an apocalyptic number.

It is an amenable number.

442212 is an abundant number, since it is smaller than the sum of its proper divisors (614844).

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

442212 is a wasteful number, since it uses less digits than its factorization.

442212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its digits is 128, while the sum is 15.

The square root of 442212 is about 664.9902254921. The cubic root of 442212 is about 76.1862927515.

Adding to 442212 its reverse (212244), we get a palindrome (654456).

The spelling of 442212 in words is "four hundred forty-two thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 857 1714 2571 3428 5142 10284 36851 73702 110553 147404 221106 442212