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242756617 = 1738936709
BaseRepresentation
bin11100111100000…
…10110000001001
3121220210022110211
432132002300021
5444121202432
640031041121
76005253145
oct1636026011
9556708424
10242756617
11115036704
12693701a1
133b3a778c
1424352225
15164a2d47
hexe782c09

242756617 has 8 divisors (see below), whose sum is σ = 257704200. Its totient is φ = 227883264.

The previous prime is 242756587. The next prime is 242756623. The reversal of 242756617 is 716657242.

It can be written as a sum of positive squares in 4 ways, for example, as 32535616 + 210221001 = 5704^2 + 14499^2 .

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 242756617 - 211 = 242754569 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 242756617.

It is not an unprimeable number, because it can be changed into a prime (242750617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11742 + ... + 24967.

It is an arithmetic number, because the mean of its divisors is an integer number (32213025).

Almost surely, 2242756617 is an apocalyptic number.

It is an amenable number.

242756617 is a deficient number, since it is larger than the sum of its proper divisors (14947583).

242756617 is a wasteful number, since it uses less digits than its factorization.

242756617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37115.

The product of its digits is 141120, while the sum is 40.

The square root of 242756617 is about 15580.6487990712. The cubic root of 242756617 is about 623.8167410911.

The spelling of 242756617 in words is "two hundred forty-two million, seven hundred fifty-six thousand, six hundred seventeen".

Divisors: 1 17 389 6613 36709 624053 14279801 242756617