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268981248 = 210387559
BaseRepresentation
bin10000000010000…
…101010000000000
3200202010122220110
4100002011100000
51022324344443
642405111320
76444205614
oct2002052000
9622118813
10268981248
11128918658
12760b8540
134395a203
1427a1b344
1518933233
hex10085400

268981248 has 44 divisors (see below), whose sum is σ = 716941280. Its totient is φ = 89659392.

The previous prime is 268981243. The next prime is 268981249. The reversal of 268981248 is 842189862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 268981197 and 268981206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268981241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40708 + ... + 46851.

It is an arithmetic number, because the mean of its divisors is an integer number (16294120).

Almost surely, 2268981248 is an apocalyptic number.

It is an amenable number.

268981248 is an abundant number, since it is smaller than the sum of its proper divisors (447960032).

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

268981248 is an equidigital number, since it uses as much as digits as its factorization.

268981248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87582 (or 87564 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 268981248 is about 16400.6477920843. The cubic root of 268981248 is about 645.5164807375.

The spelling of 268981248 in words is "two hundred sixty-eight million, nine hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 87559 175118 262677 350236 525354 700472 1050708 1400944 2101416 2801888 4202832 5603776 8405664 11207552 16811328 22415104 33622656 44830208 67245312 89660416 134490624 268981248