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8093315052 = 22321716098219
BaseRepresentation
bin1111000100110011…
…00010111111101100
3202220001000000002100
413202121202333230
5113033342040202
63415031455100
7404363020464
oct74231427754
922801000070
108093315052
113483513429
12169a527490
139bc985c24
1456ac38ba4
153257ce41c
hex1e2662fec

8093315052 has 72 divisors (see below), whose sum is σ = 21677619600. Its totient is φ = 2537192448.

The previous prime is 8093315051. The next prime is 8093315057. The reversal of 8093315052 is 2505133908.

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

It is a junction number, because it is equal to n+sod(n) for n = 8093314998 and 8093315016.

It is not an unprimeable number, because it can be changed into a prime (8093315051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980599 + ... + 988817.

It is an arithmetic number, because the mean of its divisors is an integer number (301078050).

Almost surely, 28093315052 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 8093315052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10838809800).

8093315052 is an abundant number, since it is smaller than the sum of its proper divisors (13584304548).

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

8093315052 is a wasteful number, since it uses less digits than its factorization.

8093315052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9855 (or 9850 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 8093315052 is about 89962.8537341941. The cubic root of 8093315052 is about 2007.7462136866.

The spelling of 8093315052 in words is "eight billion, ninety-three million, three hundred fifteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1609 3218 4827 6436 8219 9654 14481 16438 19308 24657 27353 28962 32876 49314 54706 57924 73971 82059 98628 109412 139723 147942 164118 246177 279446 295884 328236 419169 492354 558892 838338 984708 1257507 1676676 2515014 5030028 13224371 26448742 39673113 52897484 79346226 119019339 158692452 224814307 238038678 449628614 476077356 674442921 899257228 1348885842 2023328763 2697771684 4046657526 8093315052