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242052761 = 19791311231
BaseRepresentation
bin11100110110101…
…10111010011001
3121212110112222002
432123112322121
5443431142021
640004010345
75666262116
oct1633267231
9555415862
10242052761
111146a5905
12690909b5
133b1bc2b2
142420b90d
15163b450b
hexe6d6e99

242052761 has 16 divisors (see below), whose sum is σ = 260198400. Its totient is φ = 224499600.

The previous prime is 242052737. The next prime is 242052803. The reversal of 242052761 is 167250242.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 242052761 - 218 = 241790617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242052721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196016 + ... + 197246.

It is an arithmetic number, because the mean of its divisors is an integer number (16262400).

Almost surely, 2242052761 is an apocalyptic number.

It is an amenable number.

242052761 is a deficient number, since it is larger than the sum of its proper divisors (18145639).

242052761 is a wasteful number, since it uses less digits than its factorization.

242052761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 242052761 is about 15558.0448964515. The cubic root of 242052761 is about 623.2132529770.

The spelling of 242052761 in words is "two hundred forty-two million, fifty-two thousand, seven hundred sixty-one".

Divisors: 1 19 79 131 1231 1501 2489 10349 23389 97249 161261 196631 1847731 3063959 12739619 242052761