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144288 = 2533167
BaseRepresentation
bin100011001110100000
321022221000
4203032200
514104123
63032000
71140444
oct431640
9238830
10144288
1199451
126b600
13508a1
143a824
152cb43
hex233a0

144288 has 48 divisors (see below), whose sum is σ = 423360. Its totient is φ = 47808.

The previous prime is 144271. The next prime is 144289. The reversal of 144288 is 882441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (144289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2144288 is an apocalyptic number.

144288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

144288 is an abundant number, since it is smaller than the sum of its proper divisors (279072).

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

144288 is a wasteful number, since it uses less digits than its factorization.

144288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 144288 is about 379.8526029923. The cubic root of 144288 is about 52.4497478331.

The spelling of 144288 in words is "one hundred forty-four thousand, two hundred eighty-eight".