Base | Representation |
---|---|
bin | 1000001000110… |
… | …00010110000000 |
3 | 11202102211012200 |
4 | 10010120112000 |
5 | 114433212102 |
6 | 10434553200 |
7 | 1456114305 |
oct | 404302600 |
9 | 152384180 |
10 | 68257152 |
11 | 35590677 |
12 | 1aa38800 |
13 | 111ab462 |
14 | 90cb0ac |
15 | 5ed451c |
hex | 4118580 |
68257152 has 96 divisors (see below), whose sum is σ = 198077880. Its totient is φ = 22560768.
The previous prime is 68257129. The next prime is 68257153. The reversal of 68257152 is 25175286.
It is a happy number.
68257152 is a `hidden beast` number, since 6 + 82 + 571 + 5 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×682571522 = 9318077598302208, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (68257153) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222183 + ... + 222489.
Almost surely, 268257152 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 68257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99038940).
68257152 is an abundant number, since it is smaller than the sum of its proper divisors (129820728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68257152 is a wasteful number, since it uses less digits than its factorization.
68257152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 520 (or 505 counting only the distinct ones).
The product of its digits is 33600, while the sum is 36.
The square root of 68257152 is about 8261.7886683212. The cubic root of 68257152 is about 408.6793756162.
The spelling of 68257152 in words is "sixty-eight million, two hundred fifty-seven thousand, one hundred fifty-two".
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