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268003872 = 2532930569
BaseRepresentation
bin11111111100101…
…10101000100000
3200200022000012100
433332112220200
51022102110442
642332130400
76432665253
oct1776265040
9620260170
10268003872
11128310304
1275906a00
13436a7396
142784509a
15187dd84c
hexff96a20

268003872 has 36 divisors (see below), whose sum is σ = 762136830. Its totient is φ = 89334528.

The previous prime is 268003849. The next prime is 268003891. The reversal of 268003872 is 278300862.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 242238096 + 25765776 = 15564^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 464997 + ... + 465572.

Almost surely, 2268003872 is an apocalyptic number.

It is an amenable number.

268003872 is an abundant number, since it is smaller than the sum of its proper divisors (494132958).

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

268003872 is a wasteful number, since it uses less digits than its factorization.

268003872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930585 (or 930574 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 268003872 is about 16370.8238033399. The cubic root of 268003872 is about 644.7336776829.

The spelling of 268003872 in words is "two hundred sixty-eight million, three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 930569 1861138 2791707 3722276 5583414 7444552 8375121 11166828 14889104 16750242 22333656 29778208 33500484 44667312 67000968 89334624 134001936 268003872