Search a number
-
+
8272128 = 28310771
BaseRepresentation
bin11111100011100100000000
3120120021020010
4133203210000
54104202003
6453144520
7130211664
oct37434400
916507203
108272128
11473aa77
12292b140
131938267
1411548a4
15ad6003
hex7e3900

8272128 has 36 divisors (see below), whose sum is σ = 22017968. Its totient is φ = 2757120.

The previous prime is 8272097. The next prime is 8272129. The reversal of 8272128 is 8212728.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8272095 and 8272104.

It is not an unprimeable number, because it can be changed into a prime (8272129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4618 + ... + 6153.

Almost surely, 28272128 is an apocalyptic number.

It is an amenable number.

8272128 is an abundant number, since it is smaller than the sum of its proper divisors (13745840).

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

8272128 is a wasteful number, since it uses less digits than its factorization.

8272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10790 (or 10776 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 8272128 is about 2876.1307341635. The cubic root of 8272128 is about 202.2424954293.

The spelling of 8272128 in words is "eight million, two hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 10771 21542 32313 43084 64626 86168 129252 172336 258504 344672 517008 689344 1034016 1378688 2068032 2757376 4136064 8272128