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8305945 = 5171937139
BaseRepresentation
bin11111101011110100011001
3120121222121121
4133223310121
54111242240
6454005241
7130412404
oct37536431
916558547
108305945
11476341a
122946821
13194a77b
141162d3b
15ae104a
hex7ebd19

8305945 has 32 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 5723136.

The previous prime is 8305931. The next prime is 8305951. The reversal of 8305945 is 5495038.

It is a 5-Lehmer number, since φ(8305945) divides (8305945-1)5.

It is a cyclic number.

It is not a de Polignac number, because 8305945 - 29 = 8305433 is a prime.

8305945 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8305945.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59686 + ... + 59824.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 28305945 is an apocalyptic number.

8305945 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8305945 is a deficient number, since it is larger than the sum of its proper divisors (3185255).

8305945 is a wasteful number, since it uses less digits than its factorization.

8305945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 8305945 is about 2882.0036433010. The cubic root of 8305945 is about 202.5177142457.

The spelling of 8305945 in words is "eight million, three hundred five thousand, nine hundred forty-five".

Divisors: 1 5 17 19 37 85 95 139 185 323 629 695 703 1615 2363 2641 3145 3515 5143 11815 11951 13205 25715 44897 59755 87431 97717 224485 437155 488585 1661189 8305945