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24973 = 1317113
BaseRepresentation
bin110000110001101
31021020221
412012031
51244343
6311341
7132544
oct60615
937227
1024973
1117843
1212551
13b4a0
14915b
1575ed
hex618d

24973 has 8 divisors (see below), whose sum is σ = 28728. Its totient is φ = 21504.

The previous prime is 24971. The next prime is 24977. The reversal of 24973 is 37942.

It can be written as a sum of positive squares in 4 ways, for example, as 9 + 24964 = 3^2 + 158^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 24973 - 21 = 24971 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165 + ... + 277.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

224973 is an apocalyptic number.

It is an amenable number.

24973 is a deficient number, since it is larger than the sum of its proper divisors (3755).

24973 is a wasteful number, since it uses less digits than its factorization.

24973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

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

The square root of 24973 is about 158.0284784461. The cubic root of 24973 is about 29.2296471265.

It can be divided in two parts, 2497 and 3, that added together give a square (2500 = 502).

The spelling of 24973 in words is "twenty-four thousand, nine hundred seventy-three".

Divisors: 1 13 17 113 221 1469 1921 24973