Search a number
-
+
463963201 = 13172123493
BaseRepresentation
bin11011101001111…
…000010001000001
31012100000202212021
4123221320101001
51422233310301
6114012201441
714332423252
oct3351702101
91170022767
10463963201
11218993469
1210b469281
1375178450
1445894b29
152aaea8a1
hex1ba78441

463963201 has 12 divisors (see below), whose sum is σ = 530777212. Its totient is φ = 403077888.

The previous prime is 463963183. The next prime is 463963207. The reversal of 463963201 is 102369364.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 680625 + 463282576 = 825^2 + 21524^2 .

It is not a de Polignac number, because 463963201 - 215 = 463930433 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463963207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57990 + ... + 65503.

Almost surely, 2463963201 is an apocalyptic number.

It is an amenable number.

463963201 is a deficient number, since it is larger than the sum of its proper divisors (66814011).

463963201 is a wasteful number, since it uses less digits than its factorization.

463963201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123540 (or 123523 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 463963201 is about 21539.8050362579. The cubic root of 463963201 is about 774.1548614366.

The spelling of 463963201 in words is "four hundred sixty-three million, nine hundred sixty-three thousand, two hundred one".

Divisors: 1 13 17 221 289 3757 123493 1605409 2099381 27291953 35689477 463963201