Search a number
-
+
8672480172 = 22323740915919
BaseRepresentation
bin10000001001110101…
…11000101110101100
3211101101210122021100
420010322320232230
5120230123331142
63552321203100
7424624602516
oct100472705654
924341718240
108672480172
113750430794
121820490490
13a82968395
145c3b1abb6
1535b583b4c
hex204eb8bac

8672480172 has 72 divisors (see below), whose sum is σ = 22571057600. Its totient is φ = 2805643008.

The previous prime is 8672480171. The next prime is 8672480177. The reversal of 8672480172 is 2710842768.

It is not an unprimeable number, because it can be changed into a prime (8672480171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536829 + ... + 552747.

Almost surely, 28672480172 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 8672480172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11285528800).

8672480172 is an abundant number, since it is smaller than the sum of its proper divisors (13898577428).

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

8672480172 is a wasteful number, since it uses less digits than its factorization.

8672480172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16375 (or 16370 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8672480172 is about 93126.1519230769. The cubic root of 8672480172 is about 2054.5392314136.

The spelling of 8672480172 in words is "eight billion, six hundred seventy-two million, four hundred eighty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 409 444 666 818 1227 1332 1636 2454 3681 4908 7362 14724 15133 15919 30266 31838 45399 47757 60532 63676 90798 95514 136197 143271 181596 191028 272394 286542 544788 573084 589003 1178006 1767009 2356012 3534018 5301027 6510871 7068036 10602054 13021742 19532613 21204108 26043484 39065226 58597839 78130452 117195678 234391356 240902227 481804454 722706681 963608908 1445413362 2168120043 2890826724 4336240086 8672480172