Base | Representation |
---|---|
bin | 1011011100010… |
… | …10101000100000 |
3 | 20200121201010121 |
4 | 11232022220200 |
5 | 144033111011 |
6 | 13305210024 |
7 | 2243613100 |
oct | 556125040 |
9 | 220551117 |
10 | 95988256 |
11 | 4a201441 |
12 | 28190914 |
13 | 16b6a7b0 |
14 | ca69200 |
15 | 8660e71 |
hex | 5b8aa20 |
95988256 has 144 divisors (see below), whose sum is σ = 251571096. Its totient is φ = 35610624.
The previous prime is 95988253. The next prime is 95988271. The reversal of 95988256 is 65288959.
95988256 = T1 + T2 + ... + T831.
95988256 is a nontrivial binomial coefficient, being equal to C(833, 3).
It can be written as a sum of positive squares in 4 ways, for example, as 63680400 + 32307856 = 7980^2 + 5684^2 .
It is a Smith number, since the sum of its digits (52) 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 (52).
It is not an unprimeable number, because it can be changed into a prime (95988253) by changing a digit.
It is the 831-st tetrahedral number.
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 23 ways as a sum of consecutive naturals, for example, 346390 + ... + 346666.
Almost surely, 295988256 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 95988256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125785548).
95988256 is an abundant number, since it is smaller than the sum of its proper divisors (155582840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
95988256 is a wasteful number, since it uses less digits than its factorization.
95988256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 331 (or 316 counting only the distinct ones).
The product of its digits is 1555200, while the sum is 52.
The square root of 95988256 is about 9797.3596443123. The cubic root of 95988256 is about 457.8670246987.
The spelling of 95988256 in words is "ninety-five million, nine hundred eighty-eight thousand, two hundred fifty-six".
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