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466632 = 23326481
BaseRepresentation
bin1110001111011001000
3212201002200
41301323020
5104413012
614000200
73652305
oct1617310
9781080
10466632
11299651
121a6060
1313451a
14c20ac
15933dc
hex71ec8

466632 has 24 divisors (see below), whose sum is σ = 1263990. Its totient is φ = 155520.

The previous prime is 466619. The next prime is 466637. The reversal of 466632 is 236664.

It can be written as a sum of positive squares in only one way, i.e., 285156 + 181476 = 534^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 466596 and 466605.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 466632.

It is not an unprimeable number, because it can be changed into a prime (466637) by changing a digit.

466632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3169 + ... + 3312.

2466632 is an apocalyptic number.

It is an amenable number.

466632 is an abundant number, since it is smaller than the sum of its proper divisors (797358).

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

466632 is a wasteful number, since it uses less digits than its factorization.

466632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493 (or 6486 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 466632 is about 683.1046771908. The cubic root of 466632 is about 77.5636383298.

It can be divided in two parts, 46663 and 2, that added together give a triangular number (46665 = T305).

The spelling of 466632 in words is "four hundred sixty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6481 12962 19443 25924 38886 51848 58329 77772 116658 155544 233316 466632