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8008822152 = 2332712935347
BaseRepresentation
bin1110111010101110…
…01110110110001000
3202200011000022121200
413131113032312020
5112400224302102
63402412504200
7402315602502
oct73527166610
922604008550
108008822152
11343a853691
12167617b060
139a8311826
1455d922d72
1531d18e51c
hex1dd5ced88

8008822152 has 96 divisors (see below), whose sum is σ = 22075260480. Its totient is φ = 2622533760.

The previous prime is 8008822147. The next prime is 8008822181. The reversal of 8008822152 is 2512288008.

It is a happy number.

It is a super-2 number, since 2×80088221522 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 1495143 + ... + 1500489.

It is an arithmetic number, because the mean of its divisors is an integer number (229950630).

Almost surely, 28008822152 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 8008822152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037630240).

8008822152 is an abundant number, since it is smaller than the sum of its proper divisors (14066438328).

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

8008822152 is a wasteful number, since it uses less digits than its factorization.

8008822152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723 (or 5716 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 8008822152 is about 89492.0228400275. The cubic root of 8008822152 is about 2000.7349092545.

The spelling of 8008822152 in words is "eight billion, eight million, eight hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 293 426 568 586 639 852 879 1172 1278 1704 1758 2344 2556 2637 3516 5112 5274 5347 7032 10548 10694 16041 20803 21096 21388 32082 41606 42776 48123 62409 64164 83212 96246 124818 128328 166424 187227 192492 249636 374454 379637 384984 499272 748908 759274 1138911 1497816 1518548 1566671 2277822 3037096 3133342 3416733 4555644 4700013 6266684 6833466 9111288 9400026 12533368 13666932 14100039 18800052 27333864 28200078 37600104 56400156 111233641 112800312 222467282 333700923 444934564 667401846 889869128 1001102769 1334803692 2002205538 2669607384 4004411076 8008822152