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242583 = 3117351
BaseRepresentation
bin111011001110010111
3110022202120
4323032113
530230313
65111023
72030145
oct731627
9408676
10242583
11156290
12b8473
1386553
1464595
154bd23
hex3b397

242583 has 8 divisors (see below), whose sum is σ = 352896. Its totient is φ = 147000.

The previous prime is 242551. The next prime is 242591. The reversal of 242583 is 385242.

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

It is not a de Polignac number, because 242583 - 25 = 242551 is a prime.

242583 is a lucky number.

It is a nialpdrome in base 13.

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 242583.

It is not an unprimeable number, because it can be changed into a prime (242533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3643 + ... + 3708.

It is an arithmetic number, because the mean of its divisors is an integer number (44112).

2242583 is an apocalyptic number.

242583 is a deficient number, since it is larger than the sum of its proper divisors (110313).

242583 is a wasteful number, since it uses less digits than its factorization.

242583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7365.

The product of its digits is 1920, while the sum is 24.

The square root of 242583 is about 492.5271566117. The cubic root of 242583 is about 62.3667989882.

The spelling of 242583 in words is "two hundred forty-two thousand, five hundred eighty-three".

Divisors: 1 3 11 33 7351 22053 80861 242583