Search a number
-
+
8006945232 = 24311132235231
BaseRepresentation
bin1110111010100000…
…00100100111010000
3202200000110221222010
413131100010213100
5112344234221412
63402304342520
7402263624436
oct73520044720
922600427863
108006945232
113439791510
121675614a40
139a7b05420
1455d594d56
1531ce1d33c
hex1dd4049d0

8006945232 has 160 divisors (see below), whose sum is σ = 24414437376. Its totient is φ = 2229235200.

The previous prime is 8006945201. The next prime is 8006945263. The reversal of 8006945232 is 2325496008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8006945201) and next prime (8006945263).

It is a super-2 number, since 2×80069452322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1528057 + ... + 1533287.

Almost surely, 28006945232 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 8006945232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12207218688).

8006945232 is an abundant number, since it is smaller than the sum of its proper divisors (16407492144).

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

8006945232 is a wasteful number, since it uses less digits than its factorization.

8006945232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5489 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 8006945232 is about 89481.5357043005. The cubic root of 8006945232 is about 2000.5786019271.

The spelling of 8006945232 in words is "eight billion, six million, nine hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 223 264 286 312 429 446 528 572 624 669 858 892 1144 1338 1716 1784 2288 2453 2676 2899 3432 3568 4906 5231 5352 5798 6864 7359 8697 9812 10462 10704 11596 14718 15693 17394 19624 20924 23192 29436 31386 31889 34788 39248 41848 46384 57541 58872 62772 63778 68003 69576 83696 95667 115082 117744 125544 127556 136006 139152 172623 191334 204009 230164 251088 255112 272012 345246 382668 408018 460328 510224 544024 690492 748033 765336 816036 920656 1088048 1166513 1380984 1496066 1530672 1632072 2244099 2333026 2761968 2992132 3264144 3499539 4488198 4666052 5984264 6999078 8976396 9332104 11968528 12831643 13998156 15164669 17952792 18664208 25663286 27996312 30329338 35905584 38494929 45494007 51326572 55992624 60658676 76989858 90988014 102653144 121317352 153979716 166811359 181976028 205306288 242634704 307959432 333622718 363952056 500434077 615918864 667245436 727904112 1000868154 1334490872 2001736308 2668981744 4003472616 8006945232