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6864048 = 243315889
BaseRepresentation
bin11010001011110010110000
3110220201201000
4122023302300
53224122143
6403042000
7112225542
oct32136260
913821630
106864048
113969074
122370300
131564389
14ca9692
15908bd3
hex68bcb0

6864048 has 40 divisors (see below), whose sum is σ = 19703600. Its totient is φ = 2287872.

The previous prime is 6864043. The next prime is 6864059. The reversal of 6864048 is 8404686.

6864048 is a `hidden beast` number, since 6 + 8 + 640 + 4 + 8 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (6864043) 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 7 ways as a sum of consecutive naturals, for example, 7513 + ... + 8376.

It is an arithmetic number, because the mean of its divisors is an integer number (492590).

Almost surely, 26864048 is an apocalyptic number.

It is an amenable number.

6864048 is an abundant number, since it is smaller than the sum of its proper divisors (12839552).

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

6864048 is a wasteful number, since it uses less digits than its factorization.

6864048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15906 (or 15894 counting only the distinct ones).

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

The square root of 6864048 is about 2619.9328235663. The cubic root of 6864048 is about 190.0465998349.

The spelling of 6864048 in words is "six million, eight hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 15889 31778 47667 63556 95334 127112 143001 190668 254224 286002 381336 429003 572004 762672 858006 1144008 1716012 2288016 3432024 6864048