Base | Representation |
---|---|
bin | 10000000001001… |
… | …111110001100100 |
3 | 200201201112110000 |
4 | 100001033301210 |
5 | 1022300342322 |
6 | 42400301300 |
7 | 6442304205 |
oct | 2001176144 |
9 | 621645400 |
10 | 268762212 |
11 | 128789034 |
12 | 76011830 |
13 | 438b15c4 |
14 | 279a15ac |
15 | 188dd3ac |
hex | 1004fc64 |
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".
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