Search a number
-
+
460171232 = 251732927
BaseRepresentation
bin11011011011011…
…010011111100000
31012001220010020222
4123123122133200
51420300434412
6113355022212
714255251043
oct3333323740
91161803228
10460171232
11216833504
1210a13a968
137444b491
1445188c5a
152a5ec072
hex1b6da7e0

460171232 has 48 divisors (see below), whose sum is σ = 962902080. Its totient is φ = 216477184.

The previous prime is 460171213. The next prime is 460171247. The reversal of 460171232 is 232171064.

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 7 ways as a sum of consecutive naturals, for example, 155753 + ... + 158679.

It is an arithmetic number, because the mean of its divisors is an integer number (20060460).

Almost surely, 2460171232 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 460171232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481451040).

460171232 is an abundant number, since it is smaller than the sum of its proper divisors (502730848).

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

460171232 is an equidigital number, since it uses as much as digits as its factorization.

460171232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 460171232 is about 21451.6020846929. The cubic root of 460171232 is about 772.0400347928.

The spelling of 460171232 in words is "four hundred sixty million, one hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 2927 4624 4913 5854 9248 9826 11708 19652 23416 39304 46832 49759 78608 93664 99518 157216 199036 398072 796144 845903 1592288 1691806 3383612 6767224 13534448 14380351 27068896 28760702 57521404 115042808 230085616 460171232