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36031827 = 3133129803
BaseRepresentation
bin1000100101110…
…0110101010011
32111210121101010
42021130311103
533211004302
63324142003
7615160026
oct211346523
974717333
1036031827
1119380277
1210097903
137607610
144add1bd
15326b16c
hex225cd53

36031827 has 16 divisors (see below), whose sum is σ = 53408768. Its totient is φ = 21457440.

The previous prime is 36031811. The next prime is 36031829. The reversal of 36031827 is 72813063.

36031827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36031827 - 24 = 36031811 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36031794 and 36031803.

It is not an unprimeable number, because it can be changed into a prime (36031829) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13693 + ... + 16110.

It is an arithmetic number, because the mean of its divisors is an integer number (3338048).

Almost surely, 236031827 is an apocalyptic number.

36031827 is a deficient number, since it is larger than the sum of its proper divisors (17376941).

36031827 is a wasteful number, since it uses less digits than its factorization.

36031827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29850.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 36031827 is about 6002.6516640565. The cubic root of 36031827 is about 330.2900021896.

The spelling of 36031827 in words is "thirty-six million, thirty-one thousand, eight hundred twenty-seven".

Divisors: 1 3 13 31 39 93 403 1209 29803 89409 387439 923893 1162317 2771679 12010609 36031827