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268521312 = 25313920123
BaseRepresentation
bin10000000000010…
…100111101100000
3200201021021222210
4100000110331200
51022220140222
642351202120
76440251653
oct2000247540
9621237883
10268521312
11128634044
1275b16340
1343828a67
142793b89a
1518891d0c
hex10014f60

268521312 has 48 divisors (see below), whose sum is σ = 709974720. Its totient is φ = 88858752.

The previous prime is 268521299. The next prime is 268521359. The reversal of 268521312 is 213125862.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 268521312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3283 + ... + 23405.

It is an arithmetic number, because the mean of its divisors is an integer number (14791140).

Almost surely, 2268521312 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 268521312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354987360).

268521312 is an abundant number, since it is smaller than the sum of its proper divisors (441453408).

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

268521312 is a wasteful number, since it uses less digits than its factorization.

268521312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20275 (or 20267 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 268521312 is about 16386.6199077174. The cubic root of 268521312 is about 645.1483439819.

The spelling of 268521312 in words is "two hundred sixty-eight million, five hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 13344 20123 40246 60369 80492 120738 160984 241476 321968 482952 643936 965904 1931808 2797097 5594194 8391291 11188388 16782582 22376776 33565164 44753552 67130328 89507104 134260656 268521312