Search a number
-
+
144832 = 263173
BaseRepresentation
bin100011010111000000
321100200011
4203113000
514113312
63034304
71142152
oct432700
9240604
10144832
11998a6
126b994
1350bcc
143aad2
152cda7
hex235c0

144832 has 28 divisors (see below), whose sum is σ = 300736. Its totient is φ = 69120.

The previous prime is 144829. The next prime is 144839. The reversal of 144832 is 238441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144839) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1948 + ... + 2020.

2144832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368).

144832 is an abundant number, since it is smaller than the sum of its proper divisors (155904).

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

144832 is an equidigital number, since it uses as much as digits as its factorization.

144832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 144832 is about 380.5679965525. The cubic root of 144832 is about 52.5155811652.

The spelling of 144832 in words is "one hundred forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 73 124 146 248 292 496 584 992 1168 1984 2263 2336 4526 4672 9052 18104 36208 72416 144832