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242973 = 338999
BaseRepresentation
bin111011010100011101
3110100022000
4323110131
530233343
65112513
72031243
oct732435
9410260
10242973
11156605
12b8739
1386793
1464793
154bed3
hex3b51d

242973 has 8 divisors (see below), whose sum is σ = 360000. Its totient is φ = 161964.

The previous prime is 242971. The next prime is 242989. The reversal of 242973 is 379242.

It is not a de Polignac number, because 242973 - 21 = 242971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 8999 = 242973 / (2 + 4 + 2 + 9 + 7 + 3).

It is a d-powerful number, because it can be written as 25 + 48 + 92 + 27 + 72 + 311 .

242973 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242971) 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, 4473 + ... + 4526.

It is an arithmetic number, because the mean of its divisors is an integer number (45000).

2242973 is an apocalyptic number.

It is an amenable number.

242973 is a deficient number, since it is larger than the sum of its proper divisors (117027).

242973 is an equidigital number, since it uses as much as digits as its factorization.

242973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008 (or 9002 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 242973 is about 492.9229148660. The cubic root of 242973 is about 62.4002034017.

The spelling of 242973 in words is "two hundred forty-two thousand, nine hundred seventy-three".

Divisors: 1 3 9 27 8999 26997 80991 242973