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463983 = 31311897
BaseRepresentation
bin1110001010001101111
3212120110120
41301101233
5104321413
613540023
73641502
oct1612157
9776416
10463983
11297663
121a4613
13133260
14c1139
1592723
hex7146f

463983 has 8 divisors (see below), whose sum is σ = 666288. Its totient is φ = 285504.

The previous prime is 463973. The next prime is 463987. The reversal of 463983 is 389364.

463983 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 463983 - 26 = 463919 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

463983 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463987) by changing a digit.

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, 5910 + ... + 5987.

It is an arithmetic number, because the mean of its divisors is an integer number (83286).

2463983 is an apocalyptic number.

463983 is a deficient number, since it is larger than the sum of its proper divisors (202305).

463983 is a wasteful number, since it uses less digits than its factorization.

463983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11913.

The product of its digits is 15552, while the sum is 33.

The square root of 463983 is about 681.1629760931. The cubic root of 463983 is about 77.4165873283.

The spelling of 463983 in words is "four hundred sixty-three thousand, nine hundred eighty-three".

Divisors: 1 3 13 39 11897 35691 154661 463983