Search a number
-
+
4096395 = 325294373
BaseRepresentation
bin1111101000000110001011
321201010012100
433220012023
52022041040
6223444443
746550562
oct17500613
97633170
104096395
112348756
121456723
13b05704
14788bd9
1555db30
hex3e818b

4096395 has 48 divisors (see below), whose sum is σ = 7619040. Its totient is φ = 2032128.

The previous prime is 4096357. The next prime is 4096397. The reversal of 4096395 is 5936904.

4096395 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4096395 - 26 = 4096331 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

4096395 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4096397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56079 + ... + 56151.

It is an arithmetic number, because the mean of its divisors is an integer number (158730).

Almost surely, 24096395 is an apocalyptic number.

4096395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4096395 is a deficient number, since it is larger than the sum of its proper divisors (3522645).

4096395 is a wasteful number, since it uses less digits than its factorization.

4096395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4096395 is about 2023.9552860674. The cubic root of 4096395 is about 160.0051430638.

The spelling of 4096395 in words is "four million, ninety-six thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 29 43 45 73 87 129 145 215 219 261 365 387 435 645 657 1095 1247 1305 1935 2117 3139 3285 3741 6235 6351 9417 10585 11223 15695 18705 19053 28251 31755 47085 56115 91031 95265 141255 273093 455155 819279 1365465 4096395