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42144 = 253439
BaseRepresentation
bin1010010010100000
32010210220
422102200
52322034
6523040
7233604
oct122240
963726
1042144
1129733
1220480
131624b
1411504
15c749
hexa4a0

42144 has 24 divisors (see below), whose sum is σ = 110880. Its totient is φ = 14016.

The previous prime is 42139. The next prime is 42157. The reversal of 42144 is 44124.

Adding to 42144 its reverse (44124), we get a palindrome (86268).

It can be divided in two parts, 421 and 44, that added together give a triangular number (465 = T30).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×421442 = 3552233472, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42144.

It is an unprimeable number.

42144 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

242144 is an apocalyptic number.

It is an amenable number.

42144 is an abundant number, since it is smaller than the sum of its proper divisors (68736).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55440).

42144 is a wasteful number, since it uses less digits than its factorization.

42144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

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

The square root of 42144 is about 205.2900387257. The cubic root of 42144 is about 34.7999471528.

The spelling of 42144 in words is "forty-two thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 439 878 1317 1756 2634 3512 5268 7024 10536 14048 21072 42144