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242641153 = 17193779257
BaseRepresentation
bin11100111011001…
…10100100000001
3121220120110002101
432131212210001
5444104004103
640024350401
76004262416
oct1635464401
9556513071
10242641153
11114a67987
1269315401
133b367061
142432210d
151647da1d
hexe766901

242641153 has 32 divisors (see below), whose sum is σ = 282355200. Its totient is φ = 207028224.

The previous prime is 242641141. The next prime is 242641163. The reversal of 242641153 is 351146242.

It is a 3-Lehmer number, since φ(242641153) divides (242641153-1)3.

It is a cyclic number.

It is a Carmichael number.

It is a de Polignac number, because none of the positive numbers 2k-242641153 is a prime.

It is a deceptive number, since it divides R242641152.

It is not an unprimeable number, because it can be changed into a prime (242641163) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 944001 + ... + 944257.

It is an arithmetic number, because the mean of its divisors is an integer number (8823600).

It is a Poulet number, since it divides 2242641152-1.

Almost surely, 2242641153 is an apocalyptic number.

It is an amenable number.

242641153 is a deficient number, since it is larger than the sum of its proper divisors (39714047).

242641153 is a wasteful number, since it uses less digits than its factorization.

242641153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409.

The product of its digits is 5760, while the sum is 28.

The square root of 242641153 is about 15576.9429927698. The cubic root of 242641153 is about 623.7178219900.

Adding to 242641153 its reverse (351146242), we get a palindrome (593787395).

The spelling of 242641153 in words is "two hundred forty-two million, six hundred forty-one thousand, one hundred fifty-three".

Divisors: 1 17 19 37 79 257 323 629 703 1343 1501 2923 4369 4883 9509 11951 20303 25517 49691 55537 83011 161653 180671 345151 385757 751211 944129 3071407 6557869 12770587 14273009 242641153