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508865490 = 23457212821
BaseRepresentation
bin11110010101001…
…010101111010010
31022110112001020000
4132111022233102
52020232143430
6122254430430
715416166600
oct3625125722
91273461200
10508865490
112412721a1
12122502416
138156a453
144b822870
152ea19e60
hex1e54abd2

508865490 has 120 divisors (see below), whose sum is σ = 1591800012. Its totient is φ = 116303040.

The previous prime is 508865479. The next prime is 508865491. The reversal of 508865490 is 94568805.

508865490 is a `hidden beast` number, since 508 + 8 + 6 + 54 + 90 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 450755361 + 58110129 = 21231^2 + 7623^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (508865491) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33280 + ... + 46100.

Almost surely, 2508865490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508865490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795900006).

508865490 is an abundant number, since it is smaller than the sum of its proper divisors (1082934522).

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

508865490 is a wasteful number, since it uses less digits than its factorization.

508865490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12854 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 508865490 is about 22558.0471229227. The cubic root of 508865490 is about 798.3640997766.

The spelling of 508865490 in words is "five hundred eight million, eight hundred sixty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3969 4410 5670 6615 7938 12821 13230 19845 25642 38463 39690 64105 76926 89747 115389 128210 179494 192315 230778 269241 346167 384630 448735 538482 576945 628229 692334 807723 897470 1038501 1153890 1256458 1346205 1615446 1730835 1884687 2077002 2423169 2692410 3141145 3461670 3769374 4038615 4846338 5192505 5654061 6282290 7269507 8077230 9423435 10385010 11308122 12115845 14539014 16962183 18846870 24231690 28270305 33924366 36347535 50886549 56540610 72695070 84810915 101773098 169621830 254432745 508865490