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8084664 = 233375347
BaseRepresentation
bin11110110101110010111000
3120012202002000
4132311302320
54032202124
6445141000
7125501310
oct36656270
916182060
108084664
114622145
12285a760
1318a0b33
141106440
15a9a6c9
hex7b5cb8

8084664 has 64 divisors (see below), whose sum is σ = 25670400. Its totient is φ = 2309472.

The previous prime is 8084663. The next prime is 8084669. The reversal of 8084664 is 4664808.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8084663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162 + ... + 4185.

It is an arithmetic number, because the mean of its divisors is an integer number (401100).

Almost surely, 28084664 is an apocalyptic number.

8084664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8084664 is an abundant number, since it is smaller than the sum of its proper divisors (17585736).

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

8084664 is a wasteful number, since it uses less digits than its factorization.

8084664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8084664 is about 2843.3543570930. The cubic root of 8084664 is about 200.7030589777.

The spelling of 8084664 in words is "eight million, eighty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 5347 10694 16041 21388 32082 37429 42776 48123 64164 74858 96246 112287 128328 144369 149716 192492 224574 288738 299432 336861 384984 449148 577476 673722 898296 1010583 1154952 1347444 2021166 2694888 4042332 8084664