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495646650 = 232524092693
BaseRepresentation
bin11101100010101…
…111011110111010
31021112122110101100
4131202233132322
52003341143100
6121103232230
715165632652
oct3542573672
91245573340
10495646650
11234863734
12119ba8676
137b8bc755
1449b81362
152d7a8400
hex1d8af7ba

495646650 has 72 divisors (see below), whose sum is σ = 1335388860. Its totient is φ = 131800320.

The previous prime is 495646649. The next prime is 495646661. The reversal of 495646650 is 56646594.

It can be written as a sum of positive squares in 6 ways, for example, as 275925321 + 219721329 = 16611^2 + 14823^2 .

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 = 495646596 and 495646605.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 182704 + ... + 185396.

Almost surely, 2495646650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495646650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667694430).

495646650 is an abundant number, since it is smaller than the sum of its proper divisors (839742210).

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

495646650 is a wasteful number, since it uses less digits than its factorization.

495646650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 495646650 is about 22263.1230962774. The cubic root of 495646650 is about 791.3903040283.

The spelling of 495646650 in words is "four hundred ninety-five million, six hundred forty-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 409 450 818 1227 2045 2454 2693 3681 4090 5386 6135 7362 8079 10225 12270 13465 16158 18405 20450 24237 26930 30675 36810 40395 48474 61350 67325 80790 92025 121185 134650 184050 201975 242370 403950 605925 1101437 1211850 2202874 3304311 5507185 6608622 9912933 11014370 16521555 19825866 27535925 33043110 49564665 55071850 82607775 99129330 165215550 247823325 495646650