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42973 = 72877
BaseRepresentation
bin1010011111011101
32011221121
422133131
52333343
6530541
7236200
oct123735
964847
1042973
112a317
1220a51
1316738
1411937
15caed
hexa7dd

42973 has 6 divisors (see below), whose sum is σ = 50046. Its totient is φ = 36792.

The previous prime is 42967. The next prime is 42979. The reversal of 42973 is 37924.

It is an interprime number because it is at equal distance from previous prime (42967) and next prime (42979).

It can be written as a sum of positive squares in only one way, i.e., 41209 + 1764 = 203^2 + 42^2 .

It is not a de Polignac number, because 42973 - 29 = 42461 is a prime.

It is a d-powerful number, because it can be written as 47 + 2 + 94 + 73 + 39 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42979) 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 5 ways as a sum of consecutive naturals, for example, 390 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (8341).

242973 is an apocalyptic number.

It is an amenable number.

42973 is a deficient number, since it is larger than the sum of its proper divisors (7073).

42973 is an equidigital number, since it uses as much as digits as its factorization.

42973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 884 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 42973 is about 207.2993005295. The cubic root of 42973 is about 35.0266463750.

The spelling of 42973 in words is "forty-two thousand, nine hundred seventy-three".

Divisors: 1 7 49 877 6139 42973