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395484332550 = 235211356341443
BaseRepresentation
bin1011100000101001011…
…01000000001000000110
31101210210222112200210020
411300110231000020012
522434422442120200
6501403305440010
740400320234536
oct5602455001006
91353728480706
10395484332550
111427a666062a
1264792aa0006
132b3a8c3a478
14151da5794c6
15a44a262ea0
hex5c14b40206

395484332550 has 96 divisors (see below), whose sum is σ = 991262233728. Its totient is φ = 104341009920.

The previous prime is 395484332543. The next prime is 395484332569. The reversal of 395484332550 is 55233484593.

It is a junction number, because it is equal to n+sod(n) for n = 395484332493 and 395484332502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9522129 + ... + 9563571.

It is an arithmetic number, because the mean of its divisors is an integer number (10325648268).

Almost surely, 2395484332550 is an apocalyptic number.

395484332550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395484332550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495631116864).

395484332550 is an abundant number, since it is smaller than the sum of its proper divisors (595777901178).

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

395484332550 is a wasteful number, since it uses less digits than its factorization.

395484332550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42134 (or 42129 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 395484332550 in words is "three hundred ninety-five billion, four hundred eighty-four million, three hundred thirty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 113 150 226 339 563 565 678 1126 1130 1689 1695 2815 2825 3378 3390 5630 5650 8445 8475 14075 16890 16950 28150 41443 42225 63619 82886 84450 124329 127238 190857 207215 248658 318095 381714 414430 621645 636190 954285 1036075 1243290 1590475 1908570 2072150 3108225 3180950 4683059 4771425 6216450 9366118 9542850 14049177 23332409 23415295 28098354 46664818 46830590 69997227 70245885 116662045 117076475 139994454 140491770 233324090 234152950 349986135 351229425 583310225 699972270 702458850 1166620450 1749930675 2636562217 3499861350 5273124434 7909686651 13182811085 15819373302 26365622170 39548433255 65914055425 79096866510 131828110850 197742166275 395484332550