Search a number
-
+
496314 = 233713101
BaseRepresentation
bin1111001001010111010
3221012211000
41321022322
5111340224
614345430
74134660
oct1711272
9835730
10496314
11309985
121bb276
13144ba0
14ccc30
159c0c9
hex792ba

496314 has 64 divisors (see below), whose sum is σ = 1370880. Its totient is φ = 129600.

The previous prime is 496313. The next prime is 496333. The reversal of 496314 is 413694.

496314 is nontrivially palindromic in base 15.

496314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (496313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4864 + ... + 4964.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2496314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440).

496314 is an abundant number, since it is smaller than the sum of its proper divisors (874566).

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

496314 is a wasteful number, since it uses less digits than its factorization.

496314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 496314 is about 704.4955642160. The cubic root of 496314 is about 79.1745326749.

The spelling of 496314 in words is "four hundred ninety-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 101 117 126 182 189 202 234 273 303 351 378 546 606 702 707 819 909 1313 1414 1638 1818 2121 2457 2626 2727 3939 4242 4914 5454 6363 7878 9191 11817 12726 18382 19089 23634 27573 35451 38178 55146 70902 82719 165438 248157 496314