Base | Representation |
---|---|
bin | 10001001110101… |
… | …10111011010000 |
3 | 101001222011002100 |
4 | 20213112323100 |
5 | 244000111443 |
6 | 22201520400 |
7 | 3403346364 |
oct | 1047267320 |
9 | 331864070 |
10 | 144535248 |
11 | 7464a520 |
12 | 404a3100 |
13 | 23c37720 |
14 | 152a52a4 |
15 | ca503d3 |
hex | 89d6ed0 |
144535248 has 120 divisors (see below), whose sum is σ = 475282080. Its totient is φ = 40423680.
The previous prime is 144535247. The next prime is 144535273. The reversal of 144535248 is 842535441.
It is a happy number.
144535248 is digitally balanced in base 2, because in such base 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 (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144535247) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17083 + ... + 24101.
It is an arithmetic number, because the mean of its divisors is an integer number (3960684).
Almost surely, 2144535248 is an apocalyptic number.
144535248 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 144535248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237641040).
144535248 is an abundant number, since it is smaller than the sum of its proper divisors (330746832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144535248 is a wasteful number, since it uses less digits than its factorization.
144535248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7057 (or 7048 counting only the distinct ones).
The product of its digits is 76800, while the sum is 36.
The square root of 144535248 is about 12022.2813142931. The cubic root of 144535248 is about 524.7968955857.
It can be divided in two parts, 14453 and 5248, that added together give a triangular number (19701 = T198).
The spelling of 144535248 in words is "one hundred forty-four million, five hundred thirty-five thousand, two hundred forty-eight".
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