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144410208 = 25313111483
BaseRepresentation
bin10001001101110…
…00011001100000
3101001201210120020
420212320121200
5243432111313
622155113440
73402316005
oct1046703140
9331653506
10144410208
1174574588
1240442880
1323bc2837
14152718ac
15ca28323
hex89b8660

144410208 has 48 divisors (see below), whose sum is σ = 382003776. Its totient is φ = 47765120.

The previous prime is 144410197. The next prime is 144410239. The reversal of 144410208 is 802014441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6835 + ... + 18317.

It is an arithmetic number, because the mean of its divisors is an integer number (7958412).

Almost surely, 2144410208 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 144410208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191001888).

144410208 is an abundant number, since it is smaller than the sum of its proper divisors (237593568).

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

144410208 is a wasteful number, since it uses less digits than its factorization.

144410208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11627 (or 11619 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 144410208 is about 12017.0798449540. The cubic root of 144410208 is about 524.6455148971.

Adding to 144410208 its reverse (802014441), we get a palindrome (946424649).

The spelling of 144410208 in words is "one hundred forty-four million, four hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 11483 12576 22966 34449 45932 68898 91864 137796 183728 275592 367456 551184 1102368 1504273 3008546 4512819 6017092 9025638 12034184 18051276 24068368 36102552 48136736 72205104 144410208