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268881452 = 22717678431
BaseRepresentation
bin10000000001101…
…100111000101100
3200201221121000022
4100001230320230
51022313201302
642403021312
76443311640
oct2001547054
9621847008
10268881452
1112885a684
127606a838
1343923968
14279d2c20
15189138a2
hex1006ce2c

268881452 has 48 divisors (see below), whose sum is σ = 577963008. Its totient is φ = 106824960.

The previous prime is 268881443. The next prime is 268881463. The reversal of 268881452 is 254188862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27677 + ... + 36107.

It is an arithmetic number, because the mean of its divisors is an integer number (12040896).

Almost surely, 2268881452 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 268881452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288981504).

268881452 is an abundant number, since it is smaller than the sum of its proper divisors (309081556).

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

268881452 is a wasteful number, since it uses less digits than its factorization.

268881452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526 (or 8524 counting only the distinct ones).

The product of its digits is 245760, while the sum is 44.

The square root of 268881452 is about 16397.6050690337. The cubic root of 268881452 is about 645.4366388256.

The spelling of 268881452 in words is "two hundred sixty-eight million, eight hundred eighty-one thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 67 68 119 134 238 268 469 476 938 1139 1876 2278 4556 7973 8431 15946 16862 31892 33724 59017 118034 143327 236068 286654 564877 573308 1003289 1129754 2006578 2259508 3954139 4013156 7908278 9602909 15816556 19205818 38411636 67220363 134440726 268881452