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40188641 is a prime number
BaseRepresentation
bin1001100101001…
…1101011100001
32210121210110012
42121103223201
540242014031
63553214305
7665412023
oct231235341
983553405
1040188641
112075a359
1211561395
13843167c
1454a2013
1537dcb2b
hex2653ae1

40188641 has 2 divisors, whose sum is σ = 40188642. Its totient is φ = 40188640.

The previous prime is 40188593. The next prime is 40188661. The reversal of 40188641 is 14688104.

40188641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22515025 + 17673616 = 4745^2 + 4204^2 .

It is a cyclic number.

It is not a de Polignac number, because 40188641 - 210 = 40187617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40188598 and 40188607.

It is not a weakly prime, because it can be changed into another prime (40188661) 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 as a sum of consecutive naturals, namely, 20094320 + 20094321.

It is an arithmetic number, because the mean of its divisors is an integer number (20094321).

Almost surely, 240188641 is an apocalyptic number.

It is an amenable number.

40188641 is a deficient number, since it is larger than the sum of its proper divisors (1).

40188641 is an equidigital number, since it uses as much as digits as its factorization.

40188641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 40188641 is about 6339.4511592093. The cubic root of 40188641 is about 342.5319656883.

The spelling of 40188641 in words is "forty million, one hundred eighty-eight thousand, six hundred forty-one".