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494421840 = 243351120809
BaseRepresentation
bin11101011110000…
…100011101010000
31021110100020021000
4131132010131100
52003032444330
6121021102000
715152342043
oct3536043520
91243306230
10494421840
112340a74a0
121196b7900
137b581103
1449942c5a
152d615560
hex1d784750

494421840 has 160 divisors (see below), whose sum is σ = 1857916800. Its totient is φ = 119854080.

The previous prime is 494421817. The next prime is 494421847. The reversal of 494421840 is 48124494.

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

It is a junction number, because it is equal to n+sod(n) for n = 494421795 and 494421804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494421847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13356 + ... + 34164.

It is an arithmetic number, because the mean of its divisors is an integer number (11611980).

Almost surely, 2494421840 is an apocalyptic number.

494421840 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 494421840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928958400).

494421840 is an abundant number, since it is smaller than the sum of its proper divisors (1363494960).

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

494421840 is a wasteful number, since it uses less digits than its factorization.

494421840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20842 (or 20830 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 494421840 is about 22235.5984853118. The cubic root of 494421840 is about 790.7378887897.

The spelling of 494421840 in words is "four hundred ninety-four million, four hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 20809 23760 41618 62427 83236 104045 124854 166472 187281 208090 228899 249708 312135 332944 374562 416180 457798 499416 561843 624270 686697 749124 832360 915596 936405 998832 1123686 1144495 1248540 1373394 1498248 1664720 1831192 1872810 2060091 2247372 2288990 2497080 2746788 2809215 2996496 3433485 3662384 3745620 4120182 4494744 4577980 4994160 5493576 5618430 6180273 6866970 7491240 8240364 8989488 9155960 10300455 10987152 11236860 12360546 13733940 14982480 16480728 18311920 20600910 22473720 24721092 27467880 30901365 32961456 41201820 44947440 49442184 54935760 61802730 82403640 98884368 123605460 164807280 247210920 494421840