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8084475 = 335272959
BaseRepresentation
bin11110110101101111111011
3120012201211000
4132311233323
54032200400
6445140043
7125500620
oct36655773
916181730
108084475
114621a93
12285a623
1318a0a19
141106347
15a9a600
hex7b5bfb

8084475 has 96 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 3507840.

The previous prime is 8084471. The next prime is 8084501. The reversal of 8084475 is 5744808.

It is not a de Polignac number, because 8084475 - 22 = 8084471 is a prime.

8084475 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8084471) 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, 136996 + ... + 137054.

It is an arithmetic number, because the mean of its divisors is an integer number (186000).

Almost surely, 28084475 is an apocalyptic number.

8084475 is an abundant number, since it is smaller than the sum of its proper divisors (9771525).

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

8084475 is a wasteful number, since it uses less digits than its factorization.

8084475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 103 counting only the distinct ones).

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

The square root of 8084475 is about 2843.3211215056. The cubic root of 8084475 is about 200.7014949806.

The spelling of 8084475 in words is "eight million, eighty-four thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 29 35 45 59 63 75 87 105 135 145 175 177 189 203 225 261 295 315 413 435 525 531 609 675 725 783 885 945 1015 1239 1305 1475 1575 1593 1711 1827 2065 2175 2655 3045 3717 3915 4425 4725 5075 5133 5481 6195 6525 7965 8555 9135 10325 11151 11977 13275 15225 15399 18585 19575 25665 27405 30975 35931 39825 42775 45675 46197 55755 59885 76995 92925 107793 128325 137025 179655 230985 278775 299425 323379 384975 538965 898275 1154925 1616895 2694825 8084475