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144252 = 22324007
BaseRepresentation
bin100011001101111100
321022212200
4203031330
514104002
63031500
71140363
oct431574
9238780
10144252
1199419
126b590
1350874
143a7da
152cb1c
hex2337c

144252 has 18 divisors (see below), whose sum is σ = 364728. Its totient is φ = 48072.

The previous prime is 144247. The next prime is 144253. The reversal of 144252 is 252441.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 144252.

It is not an unprimeable number, because it can be changed into a prime (144253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1968 + ... + 2039.

2144252 is an apocalyptic number.

144252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144252 is an abundant number, since it is smaller than the sum of its proper divisors (220476).

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

144252 is a wasteful number, since it uses less digits than its factorization.

144252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4012 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 144252 is about 379.8052132344. The cubic root of 144252 is about 52.4453853822.

Adding to 144252 its reverse (252441), we get a palindrome (396693).

It can be divided in two parts, 1 and 44252, that added together give a triangular number (44253 = T297).

The spelling of 144252 in words is "one hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4007 8014 12021 16028 24042 36063 48084 72126 144252