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827230240 = 2556777167
BaseRepresentation
bin110001010011101…
…000100000100000
32010122120122120001
4301103220200200
53143232331430
6214030225344
726333224654
oct6123504040
92118518501
10827230240
11394a4a361
121b1055254
131024c8265
147bc16a64
154c9553ca
hex314e8820

827230240 has 48 divisors (see below), whose sum is σ = 1983526272. Its totient is φ = 325949184.

The previous prime is 827230237. The next prime is 827230241. The reversal of 827230240 is 42032728.

It is a junction number, because it is equal to n+sod(n) for n = 827230199 and 827230208.

It is not an unprimeable number, because it can be changed into a prime (827230241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27864 + ... + 49303.

It is an arithmetic number, because the mean of its divisors is an integer number (41323464).

Almost surely, 2827230240 is an apocalyptic number.

827230240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827230240 is an abundant number, since it is smaller than the sum of its proper divisors (1156296032).

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

827230240 is a wasteful number, since it uses less digits than its factorization.

827230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77249 (or 77241 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 827230240 is about 28761.6105251427. The cubic root of 827230240 is about 938.7331054292.

Adding to 827230240 its reverse (42032728), we get a palindrome (869262968).

The spelling of 827230240 in words is "eight hundred twenty-seven million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 5360 10720 77167 154334 308668 385835 617336 771670 1234672 1543340 2469344 3086680 5170189 6173360 10340378 12346720 20680756 25850945 41361512 51701890 82723024 103403780 165446048 206807560 413615120 827230240