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268926912 = 2633198191
BaseRepresentation
bin10000000001110…
…111111111000000
3200202000220101000
4100001313333000
51022321130122
642404012000
76443561322
oct2001677700
9622026330
10268926912
11128890851
1276091000
134393b567
1427a05612
15189220ac
hex10077fc0

268926912 has 112 divisors (see below), whose sum is σ = 832307200. Its totient is φ = 84913920.

The previous prime is 268926821. The next prime is 268926941. The reversal of 268926912 is 219629862.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28737 + ... + 36927.

Almost surely, 2268926912 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 268926912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416153600).

268926912 is an abundant number, since it is smaller than the sum of its proper divisors (563380288).

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

268926912 is a wasteful number, since it uses less digits than its factorization.

268926912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8215 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 268926912 is about 16398.9911884847. The cubic root of 268926912 is about 645.4730116037.

The spelling of 268926912 in words is "two hundred sixty-eight million, nine hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8191 8208 10944 16382 16416 24573 32764 32832 49146 65528 73719 98292 131056 147438 155629 196584 221157 262112 294876 311258 393168 442314 466887 524224 589752 622516 786336 884628 933774 1179504 1245032 1400661 1572672 1769256 1867548 2359008 2490064 2801322 3538512 3735096 4201983 4718016 4980128 5602644 7077024 7470192 8403966 9960256 11205288 14154048 14940384 16807932 22410576 29880768 33615864 44821152 67231728 89642304 134463456 268926912