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242475 = 3525361
BaseRepresentation
bin111011001100101011
3110022121120
4323030223
530224400
65110323
72026632
oct731453
9408546
10242475
111561a2
12b83a3
138649c
1464519
154bca0
hex3b32b

242475 has 24 divisors (see below), whose sum is σ = 415152. Its totient is φ = 124800.

The previous prime is 242467. The next prime is 242479. The reversal of 242475 is 574242.

It is not a de Polignac number, because 242475 - 23 = 242467 is a prime.

242475 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242475.

It is not an unprimeable number, because it can be changed into a prime (242479) 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 23 ways as a sum of consecutive naturals, for example, 3945 + ... + 4005.

It is an arithmetic number, because the mean of its divisors is an integer number (17298).

2242475 is an apocalyptic number.

242475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242475 is a deficient number, since it is larger than the sum of its proper divisors (172677).

242475 is a wasteful number, since it uses less digits than its factorization.

242475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 122 counting only the distinct ones).

The product of its digits is 2240, while the sum is 24.

The square root of 242475 is about 492.4175057814. The cubic root of 242475 is about 62.3575422058.

It can be divided in two parts, 242 and 475, that added together give a palindrome (717).

The spelling of 242475 in words is "two hundred forty-two thousand, four hundred seventy-five".

Divisors: 1 3 5 15 25 53 61 75 159 183 265 305 795 915 1325 1525 3233 3975 4575 9699 16165 48495 80825 242475