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827210038 = 21783293129
BaseRepresentation
bin110001010011100…
…011100100110110
32010122112121211211
4301103203210312
53143231210123
6214025552034
726333112034
oct6123434466
92118477754
10827210038
11394a36166
121b104561a
131024bbcc5
147bc0d554
154c94e40d
hex314e3936

827210038 has 16 divisors (see below), whose sum is σ = 1329637680. Its totient is φ = 384583936.

The previous prime is 827210029. The next prime is 827210039. The reversal of 827210038 is 830012728.

827210038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8272100382 = 1368552893935922888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 827209991 and 827210009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827210039) 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, 143743 + ... + 149386.

It is an arithmetic number, because the mean of its divisors is an integer number (83102355).

Almost surely, 2827210038 is an apocalyptic number.

827210038 is a deficient number, since it is larger than the sum of its proper divisors (502427642).

827210038 is a wasteful number, since it uses less digits than its factorization.

827210038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293231.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 827210038 is about 28761.2593256971. The cubic root of 827210038 is about 938.7254636871.

The spelling of 827210038 in words is "eight hundred twenty-seven million, two hundred ten thousand, thirty-eight".

Divisors: 1 2 17 34 83 166 1411 2822 293129 586258 4983193 9966386 24329707 48659414 413605019 827210038