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8428005 = 3251723479
BaseRepresentation
bin100000001001…
…100111100101
3120212012001100
4200021213211
54124144010
6500350313
7131431305
oct40114745
916765040
108428005
1148370a3
1229a5399
1319911b1
141195605
15b172c0
hex8099e5

8428005 has 48 divisors (see below), whose sum is σ = 16174080. Its totient is φ = 4038144.

The previous prime is 8428003. The next prime is 8428031. The reversal of 8428005 is 5008248.

It is not a de Polignac number, because 8428005 - 21 = 8428003 is a prime.

It is a Curzon number.

8428005 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8428005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8428003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17356 + ... + 17834.

It is an arithmetic number, because the mean of its divisors is an integer number (336960).

Almost surely, 28428005 is an apocalyptic number.

8428005 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8428005 is a deficient number, since it is larger than the sum of its proper divisors (7746075).

8428005 is a wasteful number, since it uses less digits than its factorization.

8428005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8428005 is about 2903.1026506136. The cubic root of 8428005 is about 203.5049269655.

The spelling of 8428005 in words is "eight million, four hundred twenty-eight thousand, five".

Divisors: 1 3 5 9 15 17 23 45 51 69 85 115 153 207 255 345 391 479 765 1035 1173 1437 1955 2395 3519 4311 5865 7185 8143 11017 17595 21555 24429 33051 40715 55085 73287 99153 122145 165255 187289 366435 495765 561867 936445 1685601 2809335 8428005