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242317825 = 5238924917
BaseRepresentation
bin11100111000101…
…11101000000001
3121212222000120021
432130113220001
5444013132300
640013413441
76001444651
oct1634275001
9555860507
10242317825
11114866a72
126919a281
133b282b39
142427a361
1516417d1a
hexe717a01

242317825 has 12 divisors (see below), whose sum is σ = 301258620. Its totient is φ = 193348160.

The previous prime is 242317787. The next prime is 242317843. The reversal of 242317825 is 528713242.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8105409 + 234212416 = 2847^2 + 15304^2 .

It is not a de Polignac number, because 242317825 - 217 = 242186753 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2734 + ... + 22183.

It is an arithmetic number, because the mean of its divisors is an integer number (25104885).

Almost surely, 2242317825 is an apocalyptic number.

242317825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242317825 is a deficient number, since it is larger than the sum of its proper divisors (58940795).

242317825 is a wasteful number, since it uses less digits than its factorization.

242317825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25316 (or 25311 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 242317825 is about 15566.5611167014. The cubic root of 242317825 is about 623.4406567533.

The spelling of 242317825 in words is "two hundred forty-two million, three hundred seventeen thousand, eight hundred twenty-five".

Divisors: 1 5 25 389 1945 9725 24917 124585 622925 9692713 48463565 242317825