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42444 = 2234131
BaseRepresentation
bin1010010111001100
32011020000
422113030
52324234
6524300
7234513
oct122714
964200
1042444
1129986
1220690
131641c
141167a
15c899
hexa5cc

42444 has 30 divisors (see below), whose sum is σ = 111804. Its totient is φ = 14040.

The previous prime is 42443. The next prime is 42451. The reversal of 42444 is 44424.

It is a happy number.

42444 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (42443) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 259 + ... + 389.

242444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55902).

42444 is an abundant number, since it is smaller than the sum of its proper divisors (69360).

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

42444 is a wasteful number, since it uses less digits than its factorization.

42444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its digits is 512, while the sum is 18.

The square root of 42444 is about 206.0194165607. The cubic root of 42444 is about 34.8823258977.

Adding to 42444 its reverse (44424), we get a palindrome (86868).

The spelling of 42444 in words is "forty-two thousand, four hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 162 262 324 393 524 786 1179 1572 2358 3537 4716 7074 10611 14148 21222 42444