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6642864 = 243315377
BaseRepresentation
bin11001010101110010110000
3110111111022000
4121111302300
53200032424
6354214000
7110314644
oct31256260
913444260
106642864
113827978
122284300
1314b77b7
14c4cc24
158b33c9
hex655cb0

6642864 has 40 divisors (see below), whose sum is σ = 19068720. Its totient is φ = 2214144.

The previous prime is 6642863. The next prime is 6642877. The reversal of 6642864 is 4682466.

It is a happy number.

6642864 is a `hidden beast` number, since 6 + 642 + 8 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6642863) 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, 7257 + ... + 8120.

It is an arithmetic number, because the mean of its divisors is an integer number (476718).

Almost surely, 26642864 is an apocalyptic number.

It is an amenable number.

6642864 is an abundant number, since it is smaller than the sum of its proper divisors (12425856).

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

6642864 is a wasteful number, since it uses less digits than its factorization.

6642864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15394 (or 15382 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6642864 is about 2577.3754092099. The cubic root of 6642864 is about 187.9829469970.

The spelling of 6642864 in words is "six million, six hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 15377 30754 46131 61508 92262 123016 138393 184524 246032 276786 369048 415179 553572 738096 830358 1107144 1660716 2214288 3321432 6642864