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242352941 = 5317212657
BaseRepresentation
bin11100111001000…
…00001100101101
3121220000210201212
432130200030231
5444020243231
640014244205
76001652225
oct1634401455
9556023655
10242352941
11114890396
12691b6665
133b295b0c
1424289085
151642342b
hexe72032d

242352941 has 8 divisors (see below), whose sum is σ = 247162104. Its totient is φ = 237552640.

The previous prime is 242352917. The next prime is 242352949. The reversal of 242352941 is 149253242.

It can be written as a sum of positive squares in 4 ways, for example, as 102616900 + 139736041 = 10130^2 + 11821^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242352941 - 210 = 242351917 is a prime.

It is a super-2 number, since 2×2423529412 = 117469896022698962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242352898 and 242352907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242352949) 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 7 ways as a sum of consecutive naturals, for example, 89885 + ... + 92541.

It is an arithmetic number, because the mean of its divisors is an integer number (30895263).

Almost surely, 2242352941 is an apocalyptic number.

It is an amenable number.

242352941 is a deficient number, since it is larger than the sum of its proper divisors (4809163).

242352941 is a wasteful number, since it uses less digits than its factorization.

242352941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431.

The product of its digits is 17280, while the sum is 32.

The square root of 242352941 is about 15567.6890064004. The cubic root of 242352941 is about 623.4707710391.

The spelling of 242352941 in words is "two hundred forty-two million, three hundred fifty-two thousand, nine hundred forty-one".

Divisors: 1 53 1721 2657 91213 140821 4572697 242352941