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144773082 = 235378397
BaseRepresentation
bin10001010000100…
…00111111011010
3101002102020100000
420220100333122
5244030214312
622210553430
73405356646
oct1050207732
9332366300
10144773082
11747a2183
1240598876
1323cbba5c
1415327c26
15ca9aadc
hex8a10fda

144773082 has 96 divisors (see below), whose sum is σ = 341595072. Its totient is φ = 45909504.

The previous prime is 144773081. The next prime is 144773093. The reversal of 144773082 is 280377441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (144773081) 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 47 ways as a sum of consecutive naturals, for example, 1492458 + ... + 1492554.

It is an arithmetic number, because the mean of its divisors is an integer number (3558282).

Almost surely, 2144773082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144773082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170797536).

144773082 is an abundant number, since it is smaller than the sum of its proper divisors (196821990).

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

144773082 is an equidigital number, since it uses as much as digits as its factorization.

144773082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 144773082 is about 12032.1686324619. The cubic root of 144773082 is about 525.0845904513.

It can be divided in two parts, 1447 and 73082, that added together give a square (74529 = 2732).

The spelling of 144773082 in words is "one hundred forty-four million, seven hundred seventy-three thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 83 97 111 162 166 194 222 243 249 291 333 486 498 582 666 747 873 999 1494 1746 1998 2241 2619 2997 3071 3589 4482 5238 5994 6142 6723 7178 7857 8051 8991 9213 10767 13446 15714 16102 17982 18426 20169 21534 23571 24153 27639 32301 40338 47142 48306 55278 64602 72459 82917 96903 144918 165834 193806 217377 248751 290709 297887 434754 497502 581418 595774 652131 746253 872127 893661 1304262 1492506 1744254 1787322 1956393 2680983 3912786 5361966 8042949 16085898 24128847 48257694 72386541 144773082