Search a number
-
+
486067374 = 2321317312007
BaseRepresentation
bin11100111110001…
…100110010101110
31020212121210002100
4130332030302232
51443413123444
6120122035530
715021335022
oct3476146256
91225553070
10486067374
1122a410681
12116948ba6
1379917540
14487aa382
152ca14e69
hex1cf8ccae

486067374 has 48 divisors (see below), whose sum is σ = 1140808032. Its totient is φ = 148682304.

The previous prime is 486067363. The next prime is 486067381. The reversal of 486067374 is 473760684.

486067374 is a `hidden beast` number, since 4 + 8 + 606 + 7 + 37 + 4 = 666.

It is a super-2 number, since 2×4860673742 = 472522984134511752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34479 + ... + 46485.

It is an arithmetic number, because the mean of its divisors is an integer number (23766834).

Almost surely, 2486067374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486067374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570404016).

486067374 is an abundant number, since it is smaller than the sum of its proper divisors (654740658).

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

486067374 is a wasteful number, since it uses less digits than its factorization.

486067374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12201 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 486067374 is about 22046.9357054444. The cubic root of 486067374 is about 786.2587478248.

The spelling of 486067374 in words is "four hundred eighty-six million, sixty-seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 173 234 346 519 1038 1557 2249 3114 4498 6747 12007 13494 20241 24014 36021 40482 72042 108063 156091 216126 312182 468273 936546 1404819 2077211 2809638 4154422 6231633 12463266 18694899 27003743 37389798 54007486 81011229 162022458 243033687 486067374