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268426192 = 241723107401
BaseRepresentation
bin11111111111111…
…01101111010000
3200201002110111211
433333331233100
51022204114232
642345145504
76436404436
oct1777755720
9621073454
10268426192
11128579631
1275a8b294
13437c4688
1427914d56
1518873a47
hexfffdbd0

268426192 has 80 divisors (see below), whose sum is σ = 581427072. Its totient is φ = 119398400.

The previous prime is 268426163. The next prime is 268426199. The reversal of 268426192 is 291624862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268426199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669192 + ... + 669592.

Almost surely, 2268426192 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 268426192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290713536).

268426192 is an abundant number, since it is smaller than the sum of its proper divisors (313000880).

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

268426192 is a wasteful number, since it uses less digits than its factorization.

268426192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 268426192 is about 16383.7172827170. The cubic root of 268426192 is about 645.0721566612.

The spelling of 268426192 in words is "two hundred sixty-eight million, four hundred twenty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 107 136 184 214 272 368 391 401 428 782 802 856 1564 1604 1712 1819 2461 3128 3208 3638 4922 6256 6416 6817 7276 9223 9844 13634 14552 18446 19688 27268 29104 36892 39376 41837 42907 54536 73784 83674 85814 109072 147568 156791 167348 171628 313582 334696 343256 627164 669392 686512 729419 986861 1254328 1458838 1973722 2508656 2917676 3947444 5835352 7894888 11670704 15789776 16776637 33553274 67106548 134213096 268426192