Search a number
-
+
5225651280 = 2433513717659
BaseRepresentation
bin1001101110111100…
…10001110001010000
3111111011222120221000
410313132101301100
541200231320110
62222311502000
7243332205633
oct46736216120
914434876830
105225651280
112241820173
12101a087900
13653827665
1437803dc1a
15208b7b1c0
hex137791c50

5225651280 has 160 divisors (see below), whose sum is σ = 18131875200. Its totient is φ = 1383257088.

The previous prime is 5225651279. The next prime is 5225651293. The reversal of 5225651280 is 821565225.

It is a happy number.

5225651280 is a `hidden beast` number, since 5 + 2 + 2 + 565 + 12 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287091 + ... + 304749.

It is an arithmetic number, because the mean of its divisors is an integer number (113324220).

Almost surely, 25225651280 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 5225651280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9065937600).

5225651280 is an abundant number, since it is smaller than the sum of its proper divisors (12906223920).

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

5225651280 is a wasteful number, since it uses less digits than its factorization.

5225651280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17818 (or 17806 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5225651280 is about 72288.6663315903. Note that the first 3 decimals coincide. The cubic root of 5225651280 is about 1735.3222753967.

The spelling of 5225651280 in words is "five billion, two hundred twenty-five million, six hundred fifty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 137 144 180 216 240 270 274 360 411 432 540 548 685 720 822 1080 1096 1233 1370 1644 2055 2160 2192 2466 2740 3288 3699 4110 4932 5480 6165 6576 7398 8220 9864 10960 12330 14796 16440 17659 18495 19728 24660 29592 32880 35318 36990 49320 52977 59184 70636 73980 88295 98640 105954 141272 147960 158931 176590 211908 264885 282544 295920 317862 353180 423816 476793 529770 635724 706360 794655 847632 953586 1059540 1271448 1412720 1589310 1907172 2119080 2383965 2419283 2542896 3178620 3814344 4238160 4767930 4838566 6357240 7257849 7628688 9535860 9677132 12096415 12714480 14515698 19071720 19354264 21773547 24192830 29031396 36289245 38143440 38708528 43547094 48385660 58062792 65320641 72578490 87094188 96771320 108867735 116125584 130641282 145156980 174188376 193542640 217735470 261282564 290313960 326603205 348376752 435470940 522565128 580627920 653206410 870941880 1045130256 1306412820 1741883760 2612825640 5225651280