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242025 = 3527461
BaseRepresentation
bin111011000101101001
3110021222220
4323011221
530221100
65104253
72025420
oct730551
9407886
10242025
11155923
12b8089
1386214
14642b7
154baa0
hex3b169

242025 has 24 divisors (see below), whose sum is σ = 458304. Its totient is φ = 110400.

The previous prime is 242009. The next prime is 242057. The reversal of 242025 is 520242.

It is not a de Polignac number, because 242025 - 24 = 242009 is a prime.

It is a super-2 number, since 2×2420252 = 117152201250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

242025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 241995 and 242013.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242025.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (19096).

2242025 is an apocalyptic number.

242025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242025 is a deficient number, since it is larger than the sum of its proper divisors (216279).

242025 is a wasteful number, since it uses less digits than its factorization.

242025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 242025 is about 491.9603642571. The cubic root of 242025 is about 62.3189426650.

Adding to 242025 its reverse (520242), we get a palindrome (762267).

The spelling of 242025 in words is "two hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 461 525 1383 2305 3227 6915 9681 11525 16135 34575 48405 80675 242025