Search a number
-
+
494240760 = 2332513105607
BaseRepresentation
bin11101011101011…
…000001111111000
31021110000000212100
4131131120033320
52003011201020
6121013143400
715150656106
oct3535301770
91243000770
10494240760
11233a93442
1211962ab60
137b519870
14498d6c76
152d5cba90
hex1d7583f8

494240760 has 96 divisors (see below), whose sum is σ = 1729859040. Its totient is φ = 121658112.

The previous prime is 494240737. The next prime is 494240777. The reversal of 494240760 is 67042494.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 48124 + ... + 57483.

It is an arithmetic number, because the mean of its divisors is an integer number (18019365).

Almost surely, 2494240760 is an apocalyptic number.

494240760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

494240760 is an abundant number, since it is smaller than the sum of its proper divisors (1235618280).

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

494240760 is a wasteful number, since it uses less digits than its factorization.

494240760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105637 (or 105630 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 494240760 is about 22231.5262633945. The cubic root of 494240760 is about 790.6413421505.

The spelling of 494240760 in words is "four hundred ninety-four million, two hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 105607 211214 316821 422428 528035 633642 844856 950463 1056070 1267284 1372891 1584105 1900926 2112140 2534568 2745782 3168210 3801852 4118673 4224280 4752315 5491564 6336420 6864455 7603704 8237346 9504630 10983128 12356019 12672840 13728910 16474692 19009260 20593365 24712038 27457820 32949384 38018520 41186730 49424076 54915640 61780095 82373460 98848152 123560190 164746920 247120380 494240760