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8052326640 = 243451242643
BaseRepresentation
bin1110111111111010…
…01100000011110000
3202210011212120120000
413133331030003300
5112442343423030
63411005150000
7403354434651
oct73775140360
922704776500
108052326640
113462368206
12168885b300
139b4334527
14565609528
15321dd4860
hex1dff4c0f0

8052326640 has 100 divisors (see below), whose sum is σ = 27966945864. Its totient is φ = 2147285376.

The previous prime is 8052326629. The next prime is 8052326671. The reversal of 8052326640 is 466232508.

8052326640 is a `hidden beast` number, since 8 + 0 + 5 + 2 + 3 + 2 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8052326595 and 8052326604.

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 19 ways as a sum of consecutive naturals, for example, 614842 + ... + 627801.

Almost surely, 28052326640 is an apocalyptic number.

8052326640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8052326640 is an abundant number, since it is smaller than the sum of its proper divisors (19914619224).

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

8052326640 is a wasteful number, since it uses less digits than its factorization.

8052326640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242668 (or 1242653 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 8052326640 is about 89734.7571457125. The cubic root of 8052326640 is about 2004.3510805180.

The spelling of 8052326640 in words is "eight billion, fifty-two million, three hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 1242643 2485286 3727929 4970572 6213215 7455858 9941144 11183787 12426430 14911716 18639645 19882288 22367574 24852860 29823432 33551361 37279290 44735148 49705720 55918935 59646864 67102722 74558580 89470296 99411440 100654083 111837870 134205444 149117160 167756805 178940592 201308166 223675740 268410888 298234320 335513610 402616332 447351480 503270415 536821776 671027220 805232664 894702960 1006540830 1342054440 1610465328 2013081660 2684108880 4026163320 8052326640