Search a number
-
+
4688642232 = 23366171303
BaseRepresentation
bin1000101110111011…
…10000000010111000
3110002202111201000000
410113131300002320
534100243022412
62053125513000
7224121541611
oct42735600270
913082451000
104688642232
111a9668633a
12aaa272760
135994b5221
143269b2c08
151c69524dc
hex1177700b8

4688642232 has 112 divisors (see below), whose sum is σ = 13212271440. Its totient is φ = 1559150208.

The previous prime is 4688642159. The next prime is 4688642237. The reversal of 4688642232 is 2322468864.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688642237) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3597693 + ... + 3598995.

Almost surely, 24688642232 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 4688642232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606135720).

4688642232 is an abundant number, since it is smaller than the sum of its proper divisors (8523629208).

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

4688642232 is a wasteful number, since it uses less digits than its factorization.

4688642232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1925 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 4688642232 is about 68473.6608631377. The cubic root of 4688642232 is about 1673.7183015409.

The spelling of 4688642232 in words is "four billion, six hundred eighty-eight million, six hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 617 648 729 972 1234 1303 1458 1851 1944 2468 2606 2916 3702 3909 4936 5212 5553 5832 7404 7818 10424 11106 11727 14808 15636 16659 22212 23454 31272 33318 35181 44424 46908 49977 66636 70362 93816 99954 105543 133272 140724 149931 199908 211086 281448 299862 316629 399816 422172 449793 599724 633258 803951 844344 899586 949887 1199448 1266516 1607902 1799172 1899774 2411853 2533032 3215804 3598344 3799548 4823706 6431608 7235559 7599096 9647412 14471118 19294824 21706677 28942236 43413354 57884472 65120031 86826708 130240062 173653416 195360093 260480124 390720186 520960248 586080279 781440372 1172160558 1562880744 2344321116 4688642232