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36036009 = 34232292
BaseRepresentation
bin1000100101110…
…1110110101001
32111210211010000
42021131312221
533211123014
63324213213
7615205152
oct211356651
974724100
1036036009
1119383429
121009a209
1376094a9
144b00929
15326c509
hex225dda9

36036009 has 45 divisors (see below), whose sum is σ = 58281223. Its totient is φ = 22187088.

The previous prime is 36036001. The next prime is 36036029. The reversal of 36036009 is 90063063.

The square root of 36036009 is 6003.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18896409 + 17139600 = 4347^2 + 4140^2 .

It is not a de Polignac number, because 36036009 - 23 = 36036001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36036001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1242607 + ... + 1242635.

Almost surely, 236036009 is an apocalyptic number.

36036009 is the 6003-rd square number.

36036009 is the 3002-nd centered octagonal number.

It is an amenable number.

36036009 is a deficient number, since it is larger than the sum of its proper divisors (22245214).

36036009 is an equidigital number, since it uses as much as digits as its factorization.

36036009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The cubic root of 36036009 is about 330.3027799611.

Multiplying 36036009 by its product of nonzero digits (2916), we get a square (105081002244 = 3241622).

The spelling of 36036009 in words is "thirty-six million, thirty-six thousand, nine".

Divisors: 1 3 9 23 27 29 69 81 87 207 261 529 621 667 783 841 1587 1863 2001 2349 2523 4761 6003 7569 14283 15341 18009 19343 22707 42849 46023 54027 58029 68121 138069 174087 414207 444889 522261 1242621 1334667 1566783 4004001 12012003 36036009