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495110512 = 241321923419
BaseRepresentation
bin11101100000101…
…100100101110000
31021111122012221101
4131200230211300
52003222014022
6121043534144
715161240611
oct3540544560
91244565841
10495110512
11234527946
1211998a354
137b762700
1449a81c08
152d6ee627
hex1d82c970

495110512 has 120 divisors (see below), whose sum is σ = 1143676800. Its totient is φ = 206578944.

The previous prime is 495110491. The next prime is 495110527. The reversal of 495110512 is 215011594.

It is a congruent number.

It is an unprimeable number.

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, 1181439 + ... + 1181857.

It is an arithmetic number, because the mean of its divisors is an integer number (9530640).

Almost surely, 2495110512 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 495110512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571838400).

495110512 is an abundant number, since it is smaller than the sum of its proper divisors (648566288).

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

495110512 is a wasteful number, since it uses less digits than its factorization.

495110512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 495110512 is about 22251.0788951907. The cubic root of 495110512 is about 791.1048537031.

The spelling of 495110512 in words is "four hundred ninety-five million, one hundred ten thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 19 23 26 38 46 52 76 92 104 152 169 184 208 247 299 304 338 368 419 437 494 598 676 838 874 988 1196 1352 1676 1748 1976 2392 2704 3211 3352 3496 3887 3952 4784 5447 5681 6422 6704 6992 7774 7961 9637 10894 11362 12844 15548 15922 19274 21788 22724 25688 31096 31844 38548 43576 45448 51376 62192 63688 70811 73853 77096 87152 90896 103493 125281 127376 141622 147706 154192 183103 206986 250562 283244 295412 366206 413972 501124 566488 590824 732412 827944 1002248 1132976 1181648 1345409 1464824 1628653 1655888 2004496 2380339 2690818 2929648 3257306 4760678 5381636 6514612 9521356 10763272 13029224 19042712 21526544 26058448 30944407 38085424 61888814 123777628 247555256 495110512