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40287 = 3131033
BaseRepresentation
bin1001110101011111
32001021010
421311133
52242122
6510303
7225312
oct116537
961233
1040287
11282a5
121b393
1315450
1410979
15be0c
hex9d5f

40287 has 8 divisors (see below), whose sum is σ = 57904. Its totient is φ = 24768.

The previous prime is 40283. The next prime is 40289. The reversal of 40287 is 78204.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 40287 - 22 = 40283 is a prime.

It is a Duffinian number.

40287 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40287.

It is not an unprimeable number, because it can be changed into a prime (40283) 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 7 ways as a sum of consecutive naturals, for example, 478 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (7238).

240287 is an apocalyptic number.

40287 is a deficient number, since it is larger than the sum of its proper divisors (17617).

40287 is a wasteful number, since it uses less digits than its factorization.

40287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 40287 is about 200.7162175809. The cubic root of 40287 is about 34.2811179354.

The spelling of 40287 in words is "forty thousand, two hundred eighty-seven".

Divisors: 1 3 13 39 1033 3099 13429 40287