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505025040 = 2435131571031
BaseRepresentation
bin11110000110100…
…001001000010000
31022012021221010010
4132012201020100
52013241300130
6122040234520
715341433132
oct3606411020
91265257103
10505025040
1123a089873
1212116ba40
13808243b0
144b103052
152e50c0b0
hex1e1a1210

505025040 has 160 divisors (see below), whose sum is σ = 1698391296. Its totient is φ = 123402240.

The previous prime is 505025033. The next prime is 505025041. The reversal of 505025040 is 40520505.

It is a junction number, because it is equal to n+sod(n) for n = 505024998 and 505025016.

It is not an unprimeable number, because it can be changed into a prime (505025041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489325 + ... + 490355.

Almost surely, 2505025040 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 505025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849195648).

505025040 is an abundant number, since it is smaller than the sum of its proper divisors (1193366256).

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

505025040 is a wasteful number, since it uses less digits than its factorization.

505025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 505025040 is about 22472.7621800258. The cubic root of 505025040 is about 796.3505858684.

Adding to 505025040 its reverse (40520505), we get a palindrome (545545545).

The spelling of 505025040 in words is "five hundred five million, twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 157 195 208 240 260 312 314 390 471 520 624 628 780 785 942 1031 1040 1256 1560 1570 1884 2041 2062 2355 2512 3093 3120 3140 3768 4082 4124 4710 5155 6123 6186 6280 7536 8164 8248 9420 10205 10310 12246 12372 12560 13403 15465 16328 16496 18840 20410 20620 24492 24744 26806 30615 30930 32656 37680 40209 40820 41240 48984 49488 53612 61230 61860 67015 80418 81640 82480 97968 107224 122460 123720 134030 160836 161867 163280 201045 214448 244920 247440 268060 321672 323734 402090 485601 489840 536120 643344 647468 804180 809335 971202 1072240 1294936 1608360 1618670 1942404 2104271 2428005 2589872 3216720 3237340 3884808 4208542 4856010 6312813 6474680 7769616 8417084 9712020 10521355 12625626 12949360 16834168 19424040 21042710 25251252 31564065 33668336 38848080 42085420 50502504 63128130 84170840 101005008 126256260 168341680 252512520 505025040