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36381331 = 723892539
BaseRepresentation
bin1000101011001…
…0001010010011
32112110100210201
42022302022103
533303200311
63335440031
7621144010
oct212621223
975410721
1036381331
1119599918
1210226017
1376ca71c
144b90707
1532d99c1
hex22b2293

36381331 has 16 divisors (see below), whose sum is σ = 43891200. Its totient is φ = 29481408.

The previous prime is 36381299. The next prime is 36381349. The reversal of 36381331 is 13318363.

It is a cyclic number.

It is not a de Polignac number, because 36381331 - 25 = 36381299 is a prime.

It is a super-2 number, since 2×363813312 = 2647202490663122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36381331.

It is not an unprimeable number, because it can be changed into a prime (36381031) 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 15 ways as a sum of consecutive naturals, for example, 13060 + ... + 15598.

It is an arithmetic number, because the mean of its divisors is an integer number (2743200).

Almost surely, 236381331 is an apocalyptic number.

36381331 is a deficient number, since it is larger than the sum of its proper divisors (7509869).

36381331 is a wasteful number, since it uses less digits than its factorization.

36381331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658.

The product of its digits is 3888, while the sum is 28.

The square root of 36381331 is about 6031.6938748580. The cubic root of 36381331 is about 331.3544910178.

Adding to 36381331 its reverse (13318363), we get a palindrome (49699694).

The spelling of 36381331 in words is "thirty-six million, three hundred eighty-one thousand, three hundred thirty-one".

Divisors: 1 7 23 89 161 623 2047 2539 14329 17773 58397 225971 408779 1581797 5197333 36381331