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864004896 = 25323000017
BaseRepresentation
bin110011011111111…
…010101100100000
32020012202222220100
4303133322230200
53232141124041
6221422342400
730260630466
oct6337725440
92205688810
10864004896
11403787737
1220142aa00
1310a002a01
1482a6a836
1550cbb6b6
hex337fab20

864004896 has 36 divisors (see below), whose sum is σ = 2457014742. Its totient is φ = 288001536.

The previous prime is 864004853. The next prime is 864004907. The reversal of 864004896 is 698400468.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 831514896 + 32490000 = 28836^2 + 5700^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1499721 + ... + 1500296.

Almost surely, 2864004896 is an apocalyptic number.

It is an amenable number.

864004896 is an abundant number, since it is smaller than the sum of its proper divisors (1593009846).

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

864004896 is a wasteful number, since it uses less digits than its factorization.

864004896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000033 (or 3000022 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 864004896 is about 29393.9601959314. The cubic root of 864004896 is about 952.4424302320.

It can be divided in two parts, 864004 and 896, that added together give a square (864900 = 9302).

The spelling of 864004896 in words is "eight hundred sixty-four million, four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3000017 6000034 9000051 12000068 18000102 24000136 27000153 36000204 48000272 54000306 72000408 96000544 108000612 144000816 216001224 288001632 432002448 864004896