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480063983 = 7537511723
BaseRepresentation
bin11100100111010…
…011000111101111
31020110022202222112
4130213103013233
51440344021413
6115345234235
714616322310
oct3447230757
91213282875
10480063983
11226a901a3
1211493297b
13785c4b39
1447a86607
152c22b2a8
hex1c9d31ef

480063983 has 16 divisors (see below), whose sum is σ = 560065536. Its totient is φ = 402948000.

The previous prime is 480063977. The next prime is 480064001. The reversal of 480063983 is 389360084.

It is not a de Polignac number, because 480063983 - 210 = 480062959 is a prime.

It is a super-2 number, since 2×4800639832 = 460922855547648578, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 480063983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480063583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277760 + ... + 279482.

It is an arithmetic number, because the mean of its divisors is an integer number (35004096).

Almost surely, 2480063983 is an apocalyptic number.

480063983 is a deficient number, since it is larger than the sum of its proper divisors (80001553).

480063983 is a wasteful number, since it uses less digits than its factorization.

480063983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534.

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 480063983 is about 21910.3624570658. The cubic root of 480063983 is about 783.0083162681.

The spelling of 480063983 in words is "four hundred eighty million, sixty-three thousand, nine hundred eighty-three".

Divisors: 1 7 53 371 751 1723 5257 12061 39803 91319 278621 639233 1293973 9057811 68580569 480063983