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144389808 = 24325318919
BaseRepresentation
bin10001001101100…
…11011010110000
3101001200202120200
420212303122300
5243430433213
622154435200
73402202353
oct1046633260
9331622520
10144389808
1174560222
1240432b00
1323bb6474
141526829a
15ca22273
hex89b36b0

144389808 has 60 divisors (see below), whose sum is σ = 411737040. Its totient is φ = 47219328.

The previous prime is 144389803. The next prime is 144389821. The reversal of 144389808 is 808983441.

It is not an unprimeable number, because it can be changed into a prime (144389803) 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 11 ways as a sum of consecutive naturals, for example, 1828 + ... + 17091.

It is an arithmetic number, because the mean of its divisors is an integer number (6862284).

Almost surely, 2144389808 is an apocalyptic number.

144389808 is a gapful number since it is divisible by the number (18) 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 144389808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205868520).

144389808 is an abundant number, since it is smaller than the sum of its proper divisors (267347232).

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

144389808 is a wasteful number, since it uses less digits than its factorization.

144389808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18986 (or 18977 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 144389808 is about 12016.2310230787. The cubic root of 144389808 is about 524.6208091817.

The spelling of 144389808 in words is "one hundred forty-four million, three hundred eighty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 18919 37838 56757 75676 113514 151352 170271 227028 302704 340542 454056 681084 908112 1002707 1362168 2005414 2724336 3008121 4010828 6016242 8021656 9024363 12032484 16043312 18048726 24064968 36097452 48129936 72194904 144389808