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268515018 = 232235910993
BaseRepresentation
bin10000000000010…
…011011011001010
3200201020222100200
4100000103123022
51022214440033
642351113030
76440224422
oct2000233312
9621228320
10268515018
1112862a342
1275b12776
1343825c35
1427939482
1518890013
hex100136ca

268515018 has 48 divisors (see below), whose sum is σ = 617423040. Its totient is φ = 84154752.

The previous prime is 268514977. The next prime is 268515019. The reversal of 268515018 is 810515862.

It is not an unprimeable number, because it can be changed into a prime (268515019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18930 + ... + 29922.

It is an arithmetic number, because the mean of its divisors is an integer number (12862980).

Almost surely, 2268515018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268515018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308711520).

268515018 is an abundant number, since it is smaller than the sum of its proper divisors (348908022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268515018 is a wasteful number, since it uses less digits than its factorization.

268515018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11083 (or 11080 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 268515018 is about 16386.4278596648. The cubic root of 268515018 is about 645.1433032952.

The spelling of 268515018 in words is "two hundred sixty-eight million, five hundred fifteen thousand, eighteen".

Divisors: 1 2 3 6 9 18 23 46 59 69 118 138 177 207 354 414 531 1062 1357 2714 4071 8142 10993 12213 21986 24426 32979 65958 98937 197874 252839 505678 648587 758517 1297174 1517034 1945761 2275551 3891522 4551102 5837283 11674566 14917501 29835002 44752503 89505006 134257509 268515018