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268273908 = 223274492371
BaseRepresentation
bin11111111110110…
…00100011110100
3200200210201121200
433333120203310
51022134231113
642342012500
76435201450
oct1777304364
9620721550
10268273908
11128485181
1275a17130
1343770276
14278b5660
1518843873
hexffd88f4

268273908 has 72 divisors (see below), whose sum is σ = 777067200. Its totient is φ = 76446720.

The previous prime is 268273897. The next prime is 268273919. The reversal of 268273908 is 809372862.

It is an interprime number because it is at equal distance from previous prime (268273897) and next prime (268273919).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111963 + ... + 114333.

It is an arithmetic number, because the mean of its divisors is an integer number (10792600).

Almost surely, 2268273908 is an apocalyptic number.

268273908 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268273908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388533600).

268273908 is an abundant number, since it is smaller than the sum of its proper divisors (508793292).

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

268273908 is a wasteful number, since it uses less digits than its factorization.

268273908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 268273908 is about 16379.0692043229. The cubic root of 268273908 is about 644.9501457771.

The spelling of 268273908 in words is "two hundred sixty-eight million, two hundred seventy-three thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 449 898 1347 1796 2371 2694 3143 4041 4742 5388 6286 7113 8082 9429 9484 12572 14226 16164 16597 18858 21339 28287 28452 33194 37716 42678 49791 56574 66388 85356 99582 113148 149373 199164 298746 597492 1064579 2129158 3193737 4258316 6387474 7452053 9581211 12774948 14904106 19162422 22356159 29808212 38324844 44712318 67068477 89424636 134136954 268273908