Search a number
-
+
473256 = 23337313
BaseRepresentation
bin1110011100010101000
3220001012000
41303202220
5110121011
614051000
74010520
oct1634250
9801160
10473256
112a3623
121a9a60
13137544
14c4680
1595356
hex738a8

473256 has 64 divisors (see below), whose sum is σ = 1507200. Its totient is φ = 134784.

The previous prime is 473227. The next prime is 473257. The reversal of 473256 is 652374.

473256 = T101 + T102 + ... + T156.

It is a happy number.

473256 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473256.

It is not an unprimeable number, because it can be changed into a prime (473257) by changing a digit.

473256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1356 + ... + 1668.

It is an arithmetic number, because the mean of its divisors is an integer number (23550).

473256 is a Friedman number, since it can be written as 6^(5-2)*(4+3^7), using all its digits and the basic arithmetic operations.

2473256 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 473256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753600).

473256 is an abundant number, since it is smaller than the sum of its proper divisors (1033944).

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

473256 is a wasteful number, since it uses less digits than its factorization.

473256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 473256 is about 687.9360435389. The cubic root of 473256 is about 77.9289293456.

It can be divided in two parts, 473 and 256, that added together give a 6-th power (729 = 36).

The spelling of 473256 in words is "four hundred seventy-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 313 378 504 626 756 939 1252 1512 1878 2191 2504 2817 3756 4382 5634 6573 7512 8451 8764 11268 13146 16902 17528 19719 22536 26292 33804 39438 52584 59157 67608 78876 118314 157752 236628 473256