Search a number
-
+
4082481320 = 235176003649
BaseRepresentation
bin1111001101010101…
…1011100010101000
3101112111220112112212
43303111123202220
531330103400240
61513033424252
7203111342621
oct36325334250
911474815485
104082481320
1118054aa705
1295b26b088
13500a40328
142aa2a4a48
1518d619165
hexf355b8a8

4082481320 has 32 divisors (see below), whose sum is σ = 9725913000. Its totient is φ = 1536933888.

The previous prime is 4082481311. The next prime is 4082481331. The reversal of 4082481320 is 231842804.

It can be written as a sum of positive squares in 4 ways, for example, as 3627171076 + 455310244 = 60226^2 + 21338^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3001145 + ... + 3002504.

Almost surely, 24082481320 is an apocalyptic number.

4082481320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4082481320 is an abundant number, since it is smaller than the sum of its proper divisors (5643431680).

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

4082481320 is a wasteful number, since it uses less digits than its factorization.

4082481320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003677 (or 6003673 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4082481320 is about 63894.2980241586. The cubic root of 4082481320 is about 1598.2378151111.

The spelling of 4082481320 in words is "four billion, eighty-two million, four hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 6003649 12007298 24014596 30018245 48029192 60036490 102062033 120072980 204124066 240145960 408248132 510310165 816496264 1020620330 2041240660 4082481320