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497785050 = 232527374271
BaseRepresentation
bin11101101010111…
…001100011011010
31021200200002201100
4131222321203122
52004413110200
6121221132230
715223050240
oct3552714332
91250602640
10497785050
11235a94304
1211a85a076
137c18ab89
144a17a790
152da7bd00
hex1dab98da

497785050 has 144 divisors (see below), whose sum is σ = 1570113792. Its totient is φ = 110678400.

The previous prime is 497785031. The next prime is 497785051. The reversal of 497785050 is 50587794.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 497784987 and 497785005.

It is not an unprimeable number, because it can be changed into a prime (497785051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114415 + ... + 118685.

It is an arithmetic number, because the mean of its divisors is an integer number (10903568).

Almost surely, 2497785050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497785050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785056896).

497785050 is an abundant number, since it is smaller than the sum of its proper divisors (1072328742).

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

497785050 is a wasteful number, since it uses less digits than its factorization.

497785050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 497785050 is about 22311.0970147144. The cubic root of 497785050 is about 792.5267864378.

The spelling of 497785050 in words is "four hundred ninety-seven million, seven hundred eighty-five thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 37 42 45 50 63 70 74 75 90 105 111 126 150 175 185 210 222 225 259 315 333 350 370 450 518 525 555 630 666 777 925 1050 1110 1295 1554 1575 1665 1850 2331 2590 2775 3150 3330 3885 4271 4662 5550 6475 7770 8325 8542 11655 12813 12950 16650 19425 21355 23310 25626 29897 38439 38850 42710 58275 59794 64065 76878 89691 106775 116550 128130 149485 158027 179382 192195 213550 269073 298970 316054 320325 384390 448455 474081 538146 640650 747425 790135 896910 948162 960975 1106189 1345365 1422243 1494850 1580270 1921950 2212378 2242275 2370405 2690730 2844486 3318567 3950675 4484550 4740810 5530945 6637134 6726825 7111215 7901350 9955701 11061890 11852025 13453650 14222430 16592835 19911402 23704050 27654725 33185670 35556075 49778505 55309450 71112150 82964175 99557010 165928350 248892525 497785050