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8382852540 = 22335101153701
BaseRepresentation
bin1111100111010100…
…00010110110111100
3210122012211000212000
413303222002312330
5114132002240130
63503453342300
7414510033216
oct76352026674
923565730760
108382852540
1136119a1207
12175b497990
13a3795c79a
145974875b6
15340e23260
hex1f3a82dbc

8382852540 has 96 divisors (see below), whose sum is σ = 26338374720. Its totient is φ = 2213280000.

The previous prime is 8382852539. The next prime is 8382852679. The reversal of 8382852540 is 452582838.

8382852540 is a `hidden beast` number, since 8 + 3 + 82 + 8 + 525 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 22311 + ... + 131390.

It is an arithmetic number, because the mean of its divisors is an integer number (274358070).

Almost surely, 28382852540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8382852540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169187360).

8382852540 is an abundant number, since it is smaller than the sum of its proper divisors (17955522180).

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

8382852540 is a wasteful number, since it uses less digits than its factorization.

8382852540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153820 (or 153812 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 8382852540 is about 91557.9190458149. The cubic root of 8382852540 is about 2031.4085478579.

The spelling of 8382852540 in words is "eight billion, three hundred eighty-two million, eight hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 3030 3636 4545 5454 6060 9090 10908 13635 18180 27270 54540 153701 307402 461103 614804 768505 922206 1383309 1537010 1844412 2305515 2766618 3074020 4149927 4611030 5533236 6916545 8299854 9222060 13833090 15523801 16599708 20749635 27666180 31047602 41499270 46571403 62095204 77619005 82998540 93142806 139714209 155238010 186285612 232857015 279428418 310476020 419142627 465714030 558856836 698571045 838285254 931428060 1397142090 1676570508 2095713135 2794284180 4191426270 8382852540