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494116812 = 2232719313329
BaseRepresentation
bin11101011100111…
…001111111001100
31021102202201211200
4131130321333030
52002443214222
6121010345500
715146631540
oct3534717714
91242681750
10494116812
11233a09302
1211958b290
137b4a5317
14498a3a20
152d5a4eac
hex1d739fcc

494116812 has 144 divisors (see below), whose sum is σ = 1551513600. Its totient is φ = 129392640.

The previous prime is 494116811. The next prime is 494116813. The reversal of 494116812 is 218611494.

494116812 is a `hidden beast` number, since 494 + 1 + 168 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (494116811) and next prime (494116813).

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

It is not an unprimeable number, because it can be changed into a prime (494116811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146764 + ... + 150092.

It is an arithmetic number, because the mean of its divisors is an integer number (10774400).

Almost surely, 2494116812 is an apocalyptic number.

494116812 is a gapful number since it is divisible by the number (42) 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 494116812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775756800).

494116812 is an abundant number, since it is smaller than the sum of its proper divisors (1057396788).

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

494116812 is a wasteful number, since it uses less digits than its factorization.

494116812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3391 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 494116812 is about 22228.7384257407. The cubic root of 494116812 is about 790.5752430518.

The spelling of 494116812 in words is "four hundred ninety-four million, one hundred sixteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 31 36 38 42 57 62 63 76 84 93 114 124 126 133 171 186 217 228 252 266 279 342 372 399 434 532 558 589 651 684 798 868 1116 1178 1197 1302 1596 1767 1953 2356 2394 2604 3329 3534 3906 4123 4788 5301 6658 7068 7812 8246 9987 10602 12369 13316 16492 19974 21204 23303 24738 29961 37107 39948 46606 49476 59922 63251 69909 74214 93212 103199 119844 126502 139818 148428 189753 206398 209727 253004 279636 309597 379506 412796 419454 442757 569259 619194 722393 759012 838908 885514 928791 1138518 1238388 1328271 1444786 1771028 1857582 1960781 2167179 2277036 2656542 2889572 3715164 3921562 3984813 4334358 5313084 5882343 6501537 7843124 7969626 8668716 11764686 13003074 13725467 15939252 17647029 23529372 26006148 27450934 35294058 41176401 54901868 70588116 82352802 123529203 164705604 247058406 494116812