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268261196 = 22741534409
BaseRepresentation
bin11111111110101…
…01011101001100
3200200210002011212
433333111131030
51022133324241
642341433552
76435116420
oct1777253514
9620702155
10268261196
11128476675
1275a0b8b8
1343767548
14278b0b80
151883ebeb
hexffd574c

268261196 has 48 divisors (see below), whose sum is σ = 560105280. Its totient is φ = 110023680.

The previous prime is 268261183. The next prime is 268261277. The reversal of 268261196 is 691162862.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58640 + ... + 63048.

It is an arithmetic number, because the mean of its divisors is an integer number (11668860).

Almost surely, 2268261196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268261196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280052640).

268261196 is an abundant number, since it is smaller than the sum of its proper divisors (291844084).

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

268261196 is a wasteful number, since it uses less digits than its factorization.

268261196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4512 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 268261196 is about 16378.6811434865. The cubic root of 268261196 is about 644.9399587562.

The spelling of 268261196 in words is "two hundred sixty-eight million, two hundred sixty-one thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 41 53 82 106 164 212 287 371 574 742 1148 1484 2173 4346 4409 8692 8818 15211 17636 30422 30863 60844 61726 123452 180769 233677 361538 467354 723076 934708 1265383 1635739 2530766 3271478 5061532 6542956 9580757 19161514 38323028 67065299 134130598 268261196