Search a number
-
+
494934000 = 24353117499
BaseRepresentation
bin11101100000000…
…001011111110000
31021111022020210220
4131200001133300
52003200342000
6121040053040
715156604161
oct3540013760
91244266726
10494934000
11234417270
12119904180
137b700272
1449a37768
152d6b71a0
hex1d8017f0

494934000 has 160 divisors (see below), whose sum is σ = 1740960000. Its totient is φ = 119968000.

The previous prime is 494933993. The next prime is 494934019. The reversal of 494934000 is 439494.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62251 + ... + 69749.

It is an arithmetic number, because the mean of its divisors is an integer number (10881000).

Almost surely, 2494934000 is an apocalyptic number.

494934000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870480000).

494934000 is an abundant number, since it is smaller than the sum of its proper divisors (1246026000).

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

494934000 is a wasteful number, since it uses less digits than its factorization.

494934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 494934000 is about 22247.1121721450. The cubic root of 494934000 is about 791.0108301843.

The spelling of 494934000 in words is "four hundred ninety-four million, nine hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 7499 8250 11000 13200 14998 16500 22000 22497 29996 33000 37495 44994 59992 66000 74990 82489 89988 112485 119984 149980 164978 179976 187475 224970 247467 299960 329956 359952 374950 412445 449940 494934 562425 599920 659912 749900 824890 899880 937375 989868 1124850 1237335 1319824 1499800 1649780 1799760 1874750 1979736 2062225 2249700 2474670 2812125 2999600 3299560 3749500 3959472 4124450 4499400 4949340 5624250 6186675 6599120 7499000 8248900 8998800 9898680 10311125 11248500 12373350 14998000 16497800 19797360 20622250 22497000 24746700 30933375 32995600 41244500 44994000 49493400 61866750 82489000 98986800 123733500 164978000 247467000 494934000