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268523296 = 25172917021
BaseRepresentation
bin10000000000010…
…101011100100000
3200201021101201021
4100000111130200
51022220221141
642351215224
76440260516
oct2000253440
9621241637
10268523296
11128635588
1275b17514
1343829932
142793c4b6
15188926d1
hex10015720

268523296 has 48 divisors (see below), whose sum is σ = 579088440. Its totient is φ = 121999360.

The previous prime is 268523293. The next prime is 268523303. The reversal of 268523296 is 692325862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 266995600 + 1527696 = 16340^2 + 1236^2 .

It is not an unprimeable number, because it can be changed into a prime (268523293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7266 + ... + 24286.

Almost surely, 2268523296 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 268523296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289544220).

268523296 is an abundant number, since it is smaller than the sum of its proper divisors (310565144).

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

268523296 is a wasteful number, since it uses less digits than its factorization.

268523296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17077 (or 17069 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 268523296 is about 16386.6804448003. The cubic root of 268523296 is about 645.1499328951.

The spelling of 268523296 in words is "two hundred sixty-eight million, five hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 15776 17021 34042 68084 136168 272336 289357 493609 544672 578714 987218 1157428 1974436 2314856 3948872 4629712 7897744 8391353 9259424 15795488 16782706 33565412 67130824 134261648 268523296