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268900352 = 211718757
BaseRepresentation
bin10000000001110…
…001100000000000
3200201222112221022
4100001301200000
51022314302402
642403245012
76443421020
oct2001614000
9621875838
10268900352
111288728a6
1276079768
134392c446
14279d9a80
15189192a2
hex10071800

268900352 has 48 divisors (see below), whose sum is σ = 614512080. Its totient is φ = 115236864.

The previous prime is 268900343. The next prime is 268900367. The reversal of 268900352 is 253009862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4958 + ... + 23714.

It is an arithmetic number, because the mean of its divisors is an integer number (12802335).

Almost surely, 2268900352 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 268900352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307256040).

268900352 is an abundant number, since it is smaller than the sum of its proper divisors (345611728).

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

268900352 is an equidigital number, since it uses as much as digits as its factorization.

268900352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18786 (or 18766 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 268900352 is about 16398.1813625780. The cubic root of 268900352 is about 645.4517613100.

The spelling of 268900352 in words is "two hundred sixty-eight million, nine hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 7168 14336 18757 37514 75028 131299 150056 262598 300112 525196 600224 1050392 1200448 2100784 2400896 4201568 4801792 8403136 9603584 16806272 19207168 33612544 38414336 67225088 134450176 268900352