Search a number
-
+
144288828 = 22324008023
BaseRepresentation
bin10001001100110…
…10110000111100
3101001111122001200
420212122300330
5243414220303
622152335500
73401302065
oct1046326074
9331448050
10144288828
11744a1372
12403a4590
1323b7c508
141523d56c
15ca023a3
hex899ac3c

144288828 has 18 divisors (see below), whose sum is σ = 364730184. Its totient is φ = 48096264.

The previous prime is 144288817. The next prime is 144288829. The reversal of 144288828 is 828882441.

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

It is a super-2 number, since 2×1442888282 = 41638531771227168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144288829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2003976 + ... + 2004047.

It is an arithmetic number, because the mean of its divisors is an integer number (20262788).

Almost surely, 2144288828 is an apocalyptic number.

144288828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144288828 is an abundant number, since it is smaller than the sum of its proper divisors (220441356).

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

144288828 is a wasteful number, since it uses less digits than its factorization.

144288828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008033 (or 4008028 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 144288828 is about 12012.0284714947. The cubic root of 144288828 is about 524.4984816097.

The spelling of 144288828 in words is "one hundred forty-four million, two hundred eighty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 4008023 8016046 12024069 16032092 24048138 36072207 48096276 72144414 144288828