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36142353 = 32131072887
BaseRepresentation
bin1000100111011…
…1110100010001
32112000012222200
42021313310101
533223023403
63330353413
7616130202
oct211676421
975005880
1036142353
1119446315
121012b869
137645a10
144b2b5a9
15328dca3
hex2277d11

36142353 has 24 divisors (see below), whose sum is σ = 56766528. Its totient is φ = 22025952.

The previous prime is 36142349. The next prime is 36142369. The reversal of 36142353 is 35324163.

It is a happy number.

36142353 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 36142353 - 22 = 36142349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36142553) 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 23 ways as a sum of consecutive naturals, for example, 11076 + ... + 13962.

It is an arithmetic number, because the mean of its divisors is an integer number (2365272).

Almost surely, 236142353 is an apocalyptic number.

It is an amenable number.

36142353 is a deficient number, since it is larger than the sum of its proper divisors (20624175).

36142353 is a wasteful number, since it uses less digits than its factorization.

36142353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3010 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 36142353 is about 6011.8510460589. The cubic root of 36142353 is about 330.6273740156.

The spelling of 36142353 in words is "thirty-six million, one hundred forty-two thousand, three hundred fifty-three".

Divisors: 1 3 9 13 39 107 117 321 963 1391 2887 4173 8661 12519 25983 37531 112593 308909 337779 926727 2780181 4015817 12047451 36142353