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242516961 = 3226946329
BaseRepresentation
bin11100111010010…
…00001111100001
3121220100010201200
432131020033201
5444041020321
640021551413
76003234351
oct1635101741
9556303650
10242516961
11114992645
1269275569
133b32267b
14242ccb61
1516456d26
hexe7483e1

242516961 has 6 divisors (see below), whose sum is σ = 350302290. Its totient is φ = 161677968.

The previous prime is 242516957. The next prime is 242516983. The reversal of 242516961 is 169615242.

242516961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 238887936 + 3629025 = 15456^2 + 1905^2 .

It is not a de Polignac number, because 242516961 - 22 = 242516957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242516941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13473156 + ... + 13473173.

It is an arithmetic number, because the mean of its divisors is an integer number (58383715).

Almost surely, 2242516961 is an apocalyptic number.

It is an amenable number.

242516961 is a deficient number, since it is larger than the sum of its proper divisors (107785329).

242516961 is a wasteful number, since it uses less digits than its factorization.

242516961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26946335 (or 26946332 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 242516961 is about 15572.9560777651. The cubic root of 242516961 is about 623.6113904933.

The spelling of 242516961 in words is "two hundred forty-two million, five hundred sixteen thousand, nine hundred sixty-one".

Divisors: 1 3 9 26946329 80838987 242516961