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505471460 = 2251323181467
BaseRepresentation
bin11110001000001…
…110000111100100
31022020010121111012
4132020032013210
52013400041320
6122054001352
715345302504
oct3610160744
91266117435
10505471460
1123a36420a
12121346258
138094c650
144b1bba04
152e5994c5
hex1e20e1e4

505471460 has 96 divisors (see below), whose sum is σ = 1202003712. Its totient is φ = 177154560.

The previous prime is 505471451. The next prime is 505471481. The reversal of 505471460 is 64174505.

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 31 ways as a sum of consecutive naturals, for example, 1082147 + ... + 1082613.

It is an arithmetic number, because the mean of its divisors is an integer number (12520872).

Almost surely, 2505471460 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 505471460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601001856).

505471460 is an abundant number, since it is smaller than the sum of its proper divisors (696532252).

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

505471460 is a wasteful number, since it uses less digits than its factorization.

505471460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 505471460 is about 22482.6924544192. The cubic root of 505471460 is about 796.5851631012.

The spelling of 505471460 in words is "five hundred five million, four hundred seventy-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 181 230 260 299 362 460 467 598 724 905 934 1196 1495 1810 1868 2335 2353 2990 3620 4163 4670 4706 5980 6071 8326 9340 9412 10741 11765 12142 16652 20815 21482 23530 24284 30355 41630 42964 47060 53705 54119 60710 83260 84527 107410 108238 121420 139633 169054 214820 216476 270595 279266 338108 422635 541190 558532 698165 845270 1082380 1098851 1396330 1690540 1944121 2197702 2792660 3888242 4395404 5494255 7776484 9720605 10988510 19441210 21977020 25273573 38882420 50547146 101094292 126367865 252735730 505471460