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4005326304 = 253271986769
BaseRepresentation
bin1110111010111100…
…0110110111100000
3101100010201122202200
43232233012313200
531200330420204
61501240013200
7201153466110
oct35657066740
911303648680
104005326304
1117759a1a31
12939461200
134baa67b85
1429dd3d040
15186978539
hexeebc6de0

4005326304 has 72 divisors (see below), whose sum is σ = 13017317040. Its totient is φ = 1144378368.

The previous prime is 4005326291. The next prime is 4005326321. The reversal of 4005326304 is 4036235004.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 991369 + ... + 995400.

It is an arithmetic number, because the mean of its divisors is an integer number (180796070).

Almost surely, 24005326304 is an apocalyptic number.

It is an amenable number.

4005326304 is an abundant number, since it is smaller than the sum of its proper divisors (9011990736).

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

4005326304 is a wasteful number, since it uses less digits than its factorization.

4005326304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986792 (or 1986781 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4005326304 is about 63287.6473255247. The cubic root of 4005326304 is about 1588.1053211790.

The spelling of 4005326304 in words is "four billion, five million, three hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1986769 3973538 5960307 7947076 11920614 13907383 15894152 17880921 23841228 27814766 31788304 35761842 41722149 47682456 55629532 63576608 71523684 83444298 95364912 111259064 125166447 143047368 166888596 190729824 222518128 250332894 286094736 333777192 445036256 500665788 572189472 667554384 1001331576 1335108768 2002663152 4005326304