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242041325 = 52171374157
BaseRepresentation
bin11100110110101…
…00000111101101
3121212102222021112
432123110013231
5443430310300
640003441405
75666213561
oct1633240755
9555388245
10242041325
11114698259
1269086265
133b1b7026
14242076a1
15163b0e35
hexe6d41ed

242041325 has 24 divisors (see below), whose sum is σ = 320182632. Its totient is φ = 180869120.

The previous prime is 242041307. The next prime is 242041339. The reversal of 242041325 is 523140242.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 30891364 + 211149961 = 5558^2 + 14531^2 .

It is not a de Polignac number, because 242041325 - 210 = 242040301 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242041325.

It is a congruent number.

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, 56147 + ... + 60303.

It is an arithmetic number, because the mean of its divisors is an integer number (13340943).

Almost surely, 2242041325 is an apocalyptic number.

242041325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242041325 is a deficient number, since it is larger than the sum of its proper divisors (78141307).

242041325 is a wasteful number, since it uses less digits than its factorization.

242041325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 242041325 is about 15557.6773652110. The cubic root of 242041325 is about 623.2034380659.

Adding to 242041325 its reverse (523140242), we get a palindrome (765181567).

The spelling of 242041325 in words is "two hundred forty-two million, forty-one thousand, three hundred twenty-five".

Divisors: 1 5 17 25 85 137 425 685 2329 3425 4157 11645 20785 58225 70669 103925 353345 569509 1766725 2847545 9681653 14237725 48408265 242041325