Search a number
-
+
486158401 = 17212972
BaseRepresentation
bin11100111110100…
…011000001000001
31020212210101221201
4130332203001001
51443424032101
6120124021201
715022164301
oct3476430101
91225711851
10486158401
1122a473003
12116991801
1379949ac1
14487d1601
152ca31e01
hex1cfa3041

486158401 has 9 divisors (see below), whose sum is σ = 516836649. Its totient is φ = 457208064.

The previous prime is 486158359. The next prime is 486158411. The reversal of 486158401 is 104851684.

The square root of 486158401 is 22049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 355284801 + 130873600 = 18849^2 + 11440^2 .

It is not a de Polignac number, because 486158401 - 219 = 485634113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (486158411) 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 8 ways as a sum of consecutive naturals, for example, 374185 + ... + 375481.

Almost surely, 2486158401 is an apocalyptic number.

486158401 is the 22049-th square number.

486158401 is the 11025-th centered octagonal number.

It is an amenable number.

486158401 is a deficient number, since it is larger than the sum of its proper divisors (30678248).

486158401 is an frugal number, since it uses more digits than its factorization.

486158401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The cubic root of 486158401 is about 786.3078262802.

The spelling of 486158401 in words is "four hundred eighty-six million, one hundred fifty-eight thousand, four hundred one".

Divisors: 1 17 289 1297 22049 374833 1682209 28597553 486158401