Search a number
-
+
8264468652 = 22311234795683
BaseRepresentation
bin1111011001001100…
…11100100010101100
3210022222001111200120
413230212130202230
5113411200444102
63444024124540
7411541552536
oct75446344254
923288044616
108264468652
113561093690
121727906750
13a1928034b
1458586c856
1533583b6bc
hex1ec99c8ac

8264468652 has 96 divisors (see below), whose sum is σ = 22001172480. Its totient is φ = 2390076480.

The previous prime is 8264468647. The next prime is 8264468659. The reversal of 8264468652 is 2568644628.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8264468595 and 8264468604.

It is not an unprimeable number, because it can be changed into a prime (8264468659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1451403 + ... + 1457085.

It is an arithmetic number, because the mean of its divisors is an integer number (229178880).

Almost surely, 28264468652 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 8264468652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11000586240).

8264468652 is an abundant number, since it is smaller than the sum of its proper divisors (13736703828).

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

8264468652 is a wasteful number, since it uses less digits than its factorization.

8264468652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203 (or 6201 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 51.

The square root of 8264468652 is about 90909.1230405398. The cubic root of 8264468652 is about 2021.8005587337.

The spelling of 8264468652 in words is "eight billion, two hundred sixty-four million, four hundred sixty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 479 506 759 958 1012 1437 1518 1916 2874 3036 5269 5683 5748 10538 11017 11366 15807 17049 21076 22034 22732 31614 33051 34098 44068 62513 63228 66102 68196 121187 125026 130709 132204 187539 242374 250052 261418 363561 375078 392127 484748 522836 727122 750156 784254 1437799 1454244 1568508 2722157 2875598 4313397 5444314 5751196 8166471 8626794 10888628 16332942 17253588 29943727 32665884 59887454 62609611 89831181 119774908 125219222 179662362 187828833 250438444 359324724 375657666 688705721 751315332 1377411442 2066117163 2754822884 4132234326 8264468652