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499260112 = 241319261109
BaseRepresentation
bin11101110000100…
…001101011010000
31021210110001010021
4131300201223100
52010302310422
6121312513224
715241432561
oct3560415320
91253401107
10499260112
1123690156a
1211b24b814
137c5863b0
144a442168
152dc6ddc7
hex1dc21ad0

499260112 has 120 divisors (see below), whose sum is σ = 1127714280. Its totient is φ = 212751360.

The previous prime is 499260109. The next prime is 499260119. The reversal of 499260112 is 211062994.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 499254336 = 76^2 + 22344^2 .

It is a super-3 number, since 3×4992601123 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499260119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4580314 + ... + 4580422.

It is an arithmetic number, because the mean of its divisors is an integer number (9397619).

Almost surely, 2499260112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499260112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563857140).

499260112 is an abundant number, since it is smaller than the sum of its proper divisors (628454168).

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

499260112 is a wasteful number, since it uses less digits than its factorization.

499260112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 499260112 is about 22344.1292513268. The cubic root of 499260112 is about 793.3088330514.

The spelling of 499260112 in words is "four hundred ninety-nine million, two hundred sixty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 38 52 61 76 104 109 122 152 208 218 244 247 304 361 436 488 494 722 793 872 976 988 1159 1417 1444 1586 1744 1976 2071 2318 2834 2888 3172 3952 4142 4636 4693 5668 5776 6344 6649 8284 9272 9386 11336 12688 13298 15067 16568 18544 18772 22021 22672 26596 26923 30134 33136 37544 39349 44042 53192 53846 60268 75088 78698 86437 88084 106384 107692 120536 126331 157396 172874 176168 215384 241072 252662 286273 314792 345748 352336 430768 505324 511537 572546 629584 691496 1010648 1023074 1145092 1382992 1642303 2021296 2046148 2290184 2400289 3284606 4092296 4580368 4800578 6569212 8184592 9601156 13138424 19202312 26276848 31203757 38404624 62407514 124815028 249630056 499260112