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864086544 = 243250911789
BaseRepresentation
bin110011100000001…
…110101000010000
32020012221010220100
4303200032220100
53232201232134
6221424212400
730261420516
oct6340165020
92205833810
10864086544
11403833012
1220146a100
1310a030c19
1482a8c4b6
1550cd5999
hex3380ea10

864086544 has 60 divisors (see below), whose sum is σ = 2423198700. Its totient is φ = 287438592.

The previous prime is 864086539. The next prime is 864086551. The reversal of 864086544 is 445680468.

It can be written as a sum of positive squares in 2 ways, for example, as 313714944 + 550371600 = 17712^2 + 23460^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 864086544.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 67402 + ... + 79190.

It is an arithmetic number, because the mean of its divisors is an integer number (40386645).

Almost surely, 2864086544 is an apocalyptic number.

It is an amenable number.

864086544 is an abundant number, since it is smaller than the sum of its proper divisors (1559112156).

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

864086544 is a wasteful number, since it uses less digits than its factorization.

864086544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 864086544 is about 29395.3490198705. The cubic root of 864086544 is about 952.4724310536.

The spelling of 864086544 in words is "eight hundred sixty-four million, eighty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 509 1018 1527 2036 3054 4072 4581 6108 8144 9162 11789 12216 18324 23578 24432 35367 36648 47156 70734 73296 94312 106101 141468 188624 212202 282936 424404 565872 848808 1697616 6000601 12001202 18001803 24002404 36003606 48004808 54005409 72007212 96009616 108010818 144014424 216021636 288028848 432043272 864086544