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46993 is a prime number
BaseRepresentation
bin1011011110010001
32101110111
423132101
53000433
61001321
7254002
oct133621
971414
1046993
1132341
1223241
131850b
14131a9
15ddcd
hexb791

46993 has 2 divisors, whose sum is σ = 46994. Its totient is φ = 46992.

The previous prime is 46957. The next prime is 46997. The reversal of 46993 is 39964.

It is the 89-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 18769 = 168^2 + 137^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46993 is a prime.

It is a d-powerful number, because it can be written as 4 + 66 + 9 + 92 + 35 .

It is not a weakly prime, because it can be changed into another prime (46997) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23496 + 23497.

It is an arithmetic number, because the mean of its divisors is an integer number (23497).

246993 is an apocalyptic number.

It is an amenable number.

46993 is a deficient number, since it is larger than the sum of its proper divisors (1).

46993 is an equidigital number, since it uses as much as digits as its factorization.

46993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 31.

The square root of 46993 is about 216.7786889895. The cubic root of 46993 is about 36.0864690966.

Adding to 46993 its product of digits (5832), we get a palindrome (52825).

It can be divided in two parts, 4 and 6993, that multiplied together give a palindrome (27972).

The spelling of 46993 in words is "forty-six thousand, nine hundred ninety-three".