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144039252 = 223712171409
BaseRepresentation
bin10001001010111…
…01110101010100
3101001000221201010
420211131311110
5243333224002
622143132220
73366212340
oct1045356524
9331027633
10144039252
1174340905
12402a4070
1323ac2a36
14151b6620
15c9a346c
hex895dd54

144039252 has 48 divisors (see below), whose sum is σ = 384693120. Its totient is φ = 41091072.

The previous prime is 144039251. The next prime is 144039253. The reversal of 144039252 is 252930441.

144039252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144039251) and next prime (144039253).

It is a super-2 number, since 2×1440392522 = 41494612233439008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144039251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101524 + ... + 102932.

It is an arithmetic number, because the mean of its divisors is an integer number (8014440).

Almost surely, 2144039252 is an apocalyptic number.

144039252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144039252 is an abundant number, since it is smaller than the sum of its proper divisors (240653868).

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

144039252 is a wasteful number, since it uses less digits than its factorization.

144039252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 144039252 is about 12001.6353885627. The cubic root of 144039252 is about 524.1958992102.

Adding to 144039252 its reverse (252930441), we get a palindrome (396969693).

The spelling of 144039252 in words is "one hundred forty-four million, thirty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1217 1409 2434 2818 3651 4227 4868 5636 7302 8454 8519 9863 14604 16908 17038 19726 25557 29589 34076 39452 51114 59178 102228 118356 1714753 3429506 5144259 6859012 10288518 12003271 20577036 24006542 36009813 48013084 72019626 144039252