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144535248 = 243211137019
BaseRepresentation
bin10001001110101…
…10111011010000
3101001222011002100
420213112323100
5244000111443
622201520400
73403346364
oct1047267320
9331864070
10144535248
117464a520
12404a3100
1323c37720
14152a52a4
15ca503d3
hex89d6ed0

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".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 7019 10296 14038 20592 21057 28076 42114 56152 63171 77209 84228 91247 112304 126342 154418 168456 182494 231627 252684 273741 308836 336912 364988 463254 505368 547482 617672 694881 729976 821223 926508 1003717 1010736 1094964 1235344 1389762 1459952 1642446 1853016 2007434 2189928 2779524 3011151 3284892 3706032 4014868 4379856 5559048 6022302 6569784 8029736 9033453 11118096 12044604 13139568 16059472 18066906 24089208 36133812 48178416 72267624 144535248