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468036 = 223213001
BaseRepresentation
bin1110010010001000100
3212210000200
41302101010
5104434121
614010500
73656352
oct1622104
9783020
10468036
1129a708
121a6a30
1313505a
14c27d2
1593a26
hex72444

468036 has 18 divisors (see below), whose sum is σ = 1183182. Its totient is φ = 156000.

The previous prime is 468029. The next prime is 468049. The reversal of 468036 is 630864.

It can be written as a sum of positive squares in only one way, i.e., 260100 + 207936 = 510^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468036.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6465 + ... + 6536.

2468036 is an apocalyptic number.

It is an amenable number.

468036 is an abundant number, since it is smaller than the sum of its proper divisors (715146).

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

468036 is a wasteful number, since it uses less digits than its factorization.

468036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 468036 is about 684.1315662941. The cubic root of 468036 is about 77.6413514684.

The spelling of 468036 in words is "four hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 13001 26002 39003 52004 78006 117009 156012 234018 468036