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483984306 = 232132973977
BaseRepresentation
bin11100110110010…
…000001110110010
31020201200221122200
4130312100032302
51442344444211
6120005244030
714664540651
oct3466201662
91221627580
10483984306
11229218633
12116103616
1379368360
14483c7198
152c752b56
hex1cd903b2

483984306 has 96 divisors (see below), whose sum is σ = 1185453360. Its totient is φ = 141668352.

The previous prime is 483984301. The next prime is 483984329. The reversal of 483984306 is 603489384.

It can be written as a sum of positive squares in 8 ways, for example, as 297252081 + 186732225 = 17241^2 + 13665^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (483984301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494890 + ... + 495866.

Almost surely, 2483984306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483984306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592726680).

483984306 is an abundant number, since it is smaller than the sum of its proper divisors (701469054).

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

483984306 is a wasteful number, since it uses less digits than its factorization.

483984306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 483984306 is about 21999.6433152904. The cubic root of 483984306 is about 785.1339547188.

The spelling of 483984306 in words is "four hundred eighty-three million, nine hundred eighty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 73 78 87 117 146 174 219 234 261 377 438 522 657 754 949 977 1131 1314 1898 1954 2117 2262 2847 2931 3393 4234 5694 5862 6351 6786 8541 8793 12701 12702 17082 17586 19053 25402 27521 28333 38103 38106 55042 56666 71321 76206 82563 84999 114309 142642 165126 169998 213963 228618 247689 254997 368329 427926 495378 509994 641889 736658 927173 1104987 1283778 1854346 2068309 2209974 2781519 3314961 4136618 5563038 6204927 6629922 8344557 12409854 16689114 18614781 26888017 37229562 53776034 80664051 161328102 241992153 483984306