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144552 = 23319317
BaseRepresentation
bin100011010010101000
321100021210
4203102220
514111202
63033120
71141302
oct432250
9240253
10144552
1199671
126b7a0
1350a45
143a972
152cc6c
hex234a8

144552 has 32 divisors (see below), whose sum is σ = 381600. Its totient is φ = 45504.

The previous prime is 144541. The next prime is 144563. The reversal of 144552 is 255441.

It is an interprime number because it is at equal distance from previous prime (144541) and next prime (144563).

It is an unprimeable number.

144552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 298 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (11925).

2144552 is an apocalyptic number.

144552 is a gapful number since it is divisible by the number (12) 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 144552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190800).

144552 is an abundant number, since it is smaller than the sum of its proper divisors (237048).

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

144552 is a wasteful number, since it uses less digits than its factorization.

144552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its digits is 800, while the sum is 21.

The square root of 144552 is about 380.1999473961. The cubic root of 144552 is about 52.4817169897.

Adding to 144552 its reverse (255441), we get a palindrome (399993).

Subtracting 144552 from its reverse (255441), we obtain a square (110889 = 3332).

It can be divided in two parts, 144 and 552, that added together give a palindrome (696).

The spelling of 144552 in words is "one hundred forty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 317 456 634 951 1268 1902 2536 3804 6023 7608 12046 18069 24092 36138 48184 72276 144552