Base | Representation |
---|---|
bin | 1000001100011… |
… | …01001111010000 |
3 | 11210100011000000 |
4 | 10012031033100 |
5 | 120044022302 |
6 | 10453130000 |
7 | 1463150235 |
oct | 406151720 |
9 | 153304000 |
10 | 68735952 |
11 | 3588837a |
12 | 1b029900 |
13 | 1131837c |
14 | 91b378c |
15 | 607b31c |
hex | 418d3d0 |
68735952 has 140 divisors (see below), whose sum is σ = 204924384. Its totient is φ = 22317120.
The previous prime is 68735951. The next prime is 68735957. The reversal of 68735952 is 25953786.
It is a happy number.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
Its product of digits (453600) is a multiple of the sum of its prime factors (180).
It is a junction number, because it is equal to n+sod(n) for n = 68735898 and 68735907.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (68735951) 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 27 ways as a sum of consecutive naturals, for example, 828103 + ... + 828185.
Almost surely, 268735952 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 68735952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102462192).
68735952 is an abundant number, since it is smaller than the sum of its proper divisors (136188432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68735952 is an equidigital number, since it uses as much as digits as its factorization.
68735952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180 (or 159 counting only the distinct ones).
The product of its digits is 453600, while the sum is 45.
The square root of 68735952 is about 8290.7148063361. The cubic root of 68735952 is about 409.6327307931.
The spelling of 68735952 in words is "sixty-eight million, seven hundred thirty-five thousand, nine hundred fifty-two".
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