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242657261 = 7211450199
BaseRepresentation
bin11100111011010…
…10011111101101
3121220121021011222
432131222133231
5444110013021
640024553125
76004360400
oct1635523755
9556537158
10242657261
11114a78aa0
12693227a5
133b3714a2
1424327d37
15164836ab
hexe76a7ed

242657261 has 12 divisors (see below), whose sum is σ = 307936800. Its totient is φ = 189083160.

The previous prime is 242657221. The next prime is 242657281. The reversal of 242657261 is 162756242.

It is not a de Polignac number, because 242657261 - 214 = 242640877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242657221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224561 + ... + 225638.

It is an arithmetic number, because the mean of its divisors is an integer number (25661400).

Almost surely, 2242657261 is an apocalyptic number.

It is an amenable number.

242657261 is a deficient number, since it is larger than the sum of its proper divisors (65279539).

242657261 is a wasteful number, since it uses less digits than its factorization.

242657261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450224 (or 450217 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 242657261 is about 15577.4600304414. The cubic root of 242657261 is about 623.7316237493.

The spelling of 242657261 in words is "two hundred forty-two million, six hundred fifty-seven thousand, two hundred sixty-one".

Divisors: 1 7 11 49 77 539 450199 3151393 4952189 22059751 34665323 242657261