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36505242 = 234225341
BaseRepresentation
bin1000101101000…
…0011010011010
32112200122210000
42023100122122
533321131432
63342233430
7622201164
oct213203232
975618700
1036505242
1119673a24
1210285876
137741c47
144bc3934
15331157c
hex22d069a

36505242 has 20 divisors (see below), whose sum is σ = 81799146. Its totient is φ = 12168360.

The previous prime is 36505241. The next prime is 36505253. The reversal of 36505242 is 24250563.

36505242 is a `hidden beast` number, since 3 + 650 + 5 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36469521 + 35721 = 6039^2 + 189^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36505241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 112509 + ... + 112832.

Almost surely, 236505242 is an apocalyptic number.

36505242 is an abundant number, since it is smaller than the sum of its proper divisors (45293904).

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

36505242 is a wasteful number, since it uses less digits than its factorization.

36505242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225355 (or 225346 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 36505242 is about 6041.9568022289. The cubic root of 36505242 is about 331.7302509621.

The spelling of 36505242 in words is "thirty-six million, five hundred five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 225341 450682 676023 1352046 2028069 4056138 6084207 12168414 18252621 36505242