Search a number
-
+
463136 = 2541353
BaseRepresentation
bin1110001000100100000
3212112022012
41301010200
5104310021
613532052
73636152
oct1610440
9775265
10463136
11296a63
121a4028
13132a5b
14c0ad2
159235b
hex71120

463136 has 24 divisors (see below), whose sum is σ = 936684. Its totient is φ = 225280.

The previous prime is 463103. The next prime is 463157. The reversal of 463136 is 631364.

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 48400 = 644^2 + 220^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1136 + ... + 1488.

2463136 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 463136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468342).

463136 is an abundant number, since it is smaller than the sum of its proper divisors (473548).

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

463136 is a wasteful number, since it uses less digits than its factorization.

463136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 463136 is about 680.5409612948. The cubic root of 463136 is about 77.3694506944.

The spelling of 463136 in words is "four hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 353 656 706 1312 1412 2824 5648 11296 14473 28946 57892 115784 231568 463136