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492985845 = 34511412699
BaseRepresentation
bin11101011000100…
…101110111110101
31021100122021110000
4131120211313311
52002201021340
6120530221513
715134211342
oct3530456765
91240567400
10492985845
11233306620
12119124899
137b19a601
144968b7c9
152d42ed30
hex1d625df5

492985845 has 80 divisors (see below), whose sum is σ = 987940800. Its totient is φ = 233107200.

The previous prime is 492985813. The next prime is 492985847. The reversal of 492985845 is 548589294.

It is a happy number.

It is not a de Polignac number, because 492985845 - 25 = 492985813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 492985791 and 492985800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492985847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 181306 + ... + 184004.

It is an arithmetic number, because the mean of its divisors is an integer number (12349260).

Almost surely, 2492985845 is an apocalyptic number.

492985845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

492985845 is an abundant number, since it is smaller than the sum of its proper divisors (494954955).

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

492985845 is a wasteful number, since it uses less digits than its factorization.

492985845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2759 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 492985845 is about 22203.2845543176. The cubic root of 492985845 is about 789.9716087644.

The spelling of 492985845 in words is "four hundred ninety-two million, nine hundred eighty-five thousand, eight hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 41 45 55 81 99 123 135 165 205 297 369 405 451 495 615 891 1107 1353 1485 1845 2255 2699 3321 4059 4455 5535 6765 8097 12177 13495 16605 20295 24291 29689 36531 40485 60885 72873 89067 110659 121455 148445 182655 218619 267201 331977 364365 445335 553295 801603 995931 1093095 1217249 1336005 1659885 2404809 2987793 3651747 4008015 4979655 6086245 8963379 10955241 12024045 14938965 18258735 32865723 44816895 54776205 98597169 164328615 492985845