Search a number
-
+
8480745 = 32571319109
BaseRepresentation
bin100000010110…
…011111101001
3120221212101200
4200112133221
54132340440
6501434413
7132041130
oct40263751
916855350
108480745
114872789
122a0ba09
1319ac1c0
1411aa917
15b27c30
hex8167e9

8480745 has 96 divisors (see below), whose sum is σ = 19219200. Its totient is φ = 3359232.

The previous prime is 8480741. The next prime is 8480753. The reversal of 8480745 is 5470848.

8480745 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8480745 - 22 = 8480741 is a prime.

8480745 is strictly pandigital in base 8.

8480745 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8480741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77751 + ... + 77859.

It is an arithmetic number, because the mean of its divisors is an integer number (200200).

Almost surely, 28480745 is an apocalyptic number.

It is an amenable number.

8480745 is an abundant number, since it is smaller than the sum of its proper divisors (10738455).

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

8480745 is a wasteful number, since it uses less digits than its factorization.

8480745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8480745 is about 2912.1718699280. The cubic root of 8480745 is about 203.9285360985.

The spelling of 8480745 in words is "eight million, four hundred eighty thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 13 15 19 21 35 39 45 57 63 65 91 95 105 109 117 133 171 195 247 273 285 315 327 399 455 545 585 665 741 763 819 855 981 1197 1235 1365 1417 1635 1729 1995 2071 2223 2289 3705 3815 4095 4251 4905 5187 5985 6213 6867 7085 8645 9919 10355 11115 11445 12753 14497 15561 18639 21255 25935 26923 29757 31065 34335 43491 49595 63765 72485 77805 80769 89271 93195 130473 134615 148785 188461 217455 242307 403845 446355 565383 652365 942305 1211535 1696149 2826915 8480745