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144389608 = 23112921951
BaseRepresentation
bin10001001101100…
…11010111101000
3101001200202022021
420212303113220
5243430431413
622154434224
73402201646
oct1046632750
9331622267
10144389608
1174560060
1240432974
1323bb634c
1415268196
15ca2218d
hex89b35e8

144389608 has 48 divisors (see below), whose sum is σ = 306034560. Its totient is φ = 63336000.

The previous prime is 144389563. The next prime is 144389617. The reversal of 144389608 is 806983441.

144389608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73033 + ... + 74983.

It is an arithmetic number, because the mean of its divisors is an integer number (6375720).

Almost surely, 2144389608 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 144389608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153017280).

144389608 is an abundant number, since it is smaller than the sum of its proper divisors (161644952).

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

144389608 is a wasteful number, since it uses less digits than its factorization.

144389608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 144389608 is about 12016.2227009988. Note that the first 3 decimals coincide. The cubic root of 144389608 is about 524.6205669572.

The spelling of 144389608 in words is "one hundred forty-four million, three hundred eighty-nine thousand, six hundred eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 841 1276 1682 1951 2552 3364 3902 6728 7804 9251 15608 18502 21461 37004 42922 56579 74008 85844 113158 171688 226316 452632 622369 1244738 1640791 2489476 3281582 4978952 6563164 13126328 18048701 36097402 72194804 144389608