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242835047 = 71321112647
BaseRepresentation
bin11100111100101…
…01111001100111
3121220221022001122
432132111321213
5444131210142
640032444155
76006030620
oct1636257147
9556838048
10242835047
1111508a624
12693a965b
133b4043a0
1424372a47
15164bb1d2
hexe795e67

242835047 has 16 divisors (see below), whose sum is σ = 300314112. Its totient is φ = 191207520.

The previous prime is 242835037. The next prime is 242835071. The reversal of 242835047 is 740538242.

It is not a de Polignac number, because 242835047 - 24 = 242835031 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 242834998 and 242835016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242835017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12878 + ... + 25524.

It is an arithmetic number, because the mean of its divisors is an integer number (18769632).

Almost surely, 2242835047 is an apocalyptic number.

242835047 is a deficient number, since it is larger than the sum of its proper divisors (57479065).

242835047 is a wasteful number, since it uses less digits than its factorization.

242835047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12878.

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 242835047 is about 15583.1654999875. The cubic root of 242835047 is about 623.8839149263.

The spelling of 242835047 in words is "two hundred forty-two million, eight hundred thirty-five thousand, forty-seven".

Divisors: 1 7 13 91 211 1477 2743 12647 19201 88529 164411 1150877 2668517 18679619 34690721 242835047