Search a number
-
+
471328 = 251113103
BaseRepresentation
bin1110011000100100000
3212221112121
41303010200
5110040303
614034024
74002064
oct1630440
9787477
10471328
112a2130
121a8914
131366c0
14c3aa4
15949bd
hex73120

471328 has 48 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 195840.

The previous prime is 471313. The next prime is 471353. The reversal of 471328 is 823174.

It is an unprimeable number.

471328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4525 + ... + 4627.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2471328 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 471328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

471328 is an abundant number, since it is smaller than the sum of its proper divisors (629408).

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

471328 is a wasteful number, since it uses less digits than its factorization.

471328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 471328 is about 686.5333203858. The cubic root of 471328 is about 77.8229602933.

The spelling of 471328 in words is "four hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 103 104 143 176 206 208 286 352 412 416 572 824 1133 1144 1339 1648 2266 2288 2678 3296 4532 4576 5356 9064 10712 14729 18128 21424 29458 36256 42848 58916 117832 235664 471328