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483717216 = 25329293593
BaseRepresentation
bin11100110101001…
…111000001100000
31020201012101021110
4130311033001200
51442312422331
6115555423320
714662346163
oct3465170140
91221171243
10483717216
112290559a4
12115bb4b40
13792a3908
1448357ada
152c6ed946
hex1cd4f060

483717216 has 96 divisors (see below), whose sum is σ = 1320248160. Its totient is φ = 154886144.

The previous prime is 483717197. The next prime is 483717233. The reversal of 483717216 is 612717384.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 815416 + ... + 816008.

It is an arithmetic number, because the mean of its divisors is an integer number (13752585).

Almost surely, 2483717216 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 483717216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660124080).

483717216 is an abundant number, since it is smaller than the sum of its proper divisors (836530944).

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

483717216 is a wasteful number, since it uses less digits than its factorization.

483717216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 920 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 483717216 is about 21993.5721518811. The cubic root of 483717216 is about 784.9895009888.

The spelling of 483717216 in words is "four hundred eighty-three million, seven hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 293 348 464 586 593 696 879 928 1172 1186 1392 1758 1779 2344 2372 2784 3516 3558 4688 4744 7032 7116 8497 9376 9488 14064 14232 16994 17197 18976 25491 28128 28464 33988 34394 50982 51591 56928 67976 68788 101964 103182 135952 137576 173749 203928 206364 271904 275152 347498 407856 412728 521247 550304 694996 815712 825456 1042494 1389992 1650912 2084988 2779984 4169976 5038721 5559968 8339952 10077442 15116163 16679904 20154884 30232326 40309768 60464652 80619536 120929304 161239072 241858608 483717216