Search a number
-
+
493830 = 23353159
BaseRepresentation
bin1111000100100000110
3221002102000
41320210012
5111300310
614330130
74124511
oct1704406
9832360
10493830
11308027
121b9946
13143a0c
14cbd78
159b4c0
hex78906

493830 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 125280.

The previous prime is 493817. The next prime is 493853. The reversal of 493830 is 38394.

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

It is a junction number, because it is equal to n+sod(n) for n = 493794 and 493803.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 493830.

It is an unprimeable number.

493830 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 31 ways as a sum of consecutive naturals, for example, 8341 + ... + 8399.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2493830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

493830 is an abundant number, since it is smaller than the sum of its proper divisors (888570).

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

493830 is a wasteful number, since it uses less digits than its factorization.

493830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

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

The square root of 493830 is about 702.7303892675. The cubic root of 493830 is about 79.0422249301.

The spelling of 493830 in words is "four hundred ninety-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 59 62 90 93 118 135 155 177 186 270 279 295 310 354 465 531 558 590 837 885 930 1062 1395 1593 1674 1770 1829 2655 2790 3186 3658 4185 5310 5487 7965 8370 9145 10974 15930 16461 18290 27435 32922 49383 54870 82305 98766 164610 246915 493830