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268762212 = 223443101191
BaseRepresentation
bin10000000001001…
…111110001100100
3200201201112110000
4100001033301210
51022300342322
642400301300
76442304205
oct2001176144
9621645400
10268762212
11128789034
1276011830
13438b15c4
14279a15ac
15188dd3ac
hex1004fc64

268762212 has 120 divisors (see below), whose sum is σ = 729856512. Its totient is φ = 86184000.

The previous prime is 268762183. The next prime is 268762213. The reversal of 268762212 is 212267862.

268762212 is a `hidden beast` number, since 26 + 8 + 7 + 622 + 1 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (268762213) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1407037 + ... + 1407227.

Almost surely, 2268762212 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 268762212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364928256).

268762212 is an abundant number, since it is smaller than the sum of its proper divisors (461094300).

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

268762212 is a wasteful number, since it uses less digits than its factorization.

268762212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

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

The square root of 268762212 is about 16393.9687690321. The cubic root of 268762212 is about 645.3412148092.

The spelling of 268762212 in words is "two hundred sixty-eight million, seven hundred sixty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 101 108 129 162 172 191 202 258 303 324 382 387 404 516 573 606 764 774 909 1146 1161 1212 1548 1719 1818 2292 2322 2727 3438 3483 3636 4343 4644 5157 5454 6876 6966 8181 8213 8686 10314 10908 13029 13932 15471 16362 16426 17372 19291 20628 24639 26058 30942 32724 32852 38582 39087 49278 52116 57873 61884 73917 77164 78174 98556 115746 117261 147834 156348 173619 221751 231492 234522 295668 347238 351783 443502 469044 520857 665253 694476 703566 829513 887004 1041714 1330506 1407132 1562571 1659026 2083428 2488539 2661012 3125142 3318052 4977078 6250284 7465617 9954156 14931234 22396851 29862468 44793702 67190553 89587404 134381106 268762212