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40993 is a prime number
BaseRepresentation
bin1010000000100001
32002020021
422000201
52302433
6513441
7230341
oct120041
962207
1040993
1128887
121b881
1315874
1410d21
15c22d
hexa021

40993 has 2 divisors, whose sum is σ = 40994. Its totient is φ = 40992.

The previous prime is 40973. The next prime is 41011. The reversal of 40993 is 39904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 12769 = 168^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 40993 - 25 = 40961 is a prime.

40993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (40903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20496 + 20497.

It is an arithmetic number, because the mean of its divisors is an integer number (20497).

240993 is an apocalyptic number.

It is an amenable number.

40993 is a deficient number, since it is larger than the sum of its proper divisors (1).

40993 is an equidigital number, since it uses as much as digits as its factorization.

40993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 40993 is about 202.4672813074. The cubic root of 40993 is about 34.4802098921.

Subtracting from 40993 its reverse (39904), we obtain a square (1089 = 332).

The spelling of 40993 in words is "forty thousand, nine hundred ninety-three".