| Base | Representation |
|---|---|
| bin | 1001001010100… |
| … | …11000010111000 |
| 3 | 12100200020001001 |
| 4 | 10211103002320 |
| 5 | 124140324300 |
| 6 | 11343534344 |
| 7 | 1622344006 |
| oct | 445230270 |
| 9 | 170606031 |
| 10 | 76886200 |
| 11 | 3a444816 |
| 12 | 218ba3b4 |
| 13 | 12c0ccc1 |
| 14 | a2d5a76 |
| 15 | 6b3b16a |
| hex | 49530b8 |
76886200 has 48 divisors (see below), whose sum is σ = 184541760. Its totient is φ = 29760000.
The previous prime is 76886191. The next prime is 76886203. The reversal of 76886200 is 268867.
76886200 is a nontrivial binomial coefficient, being equal to C(12401, 2).
It is a super-2 number, since 2×768862002 = 11822975500880000, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 76886200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (76886203) 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 11 ways as a sum of consecutive naturals, for example, 1 + ... + 12400.
It is an arithmetic number, because the mean of its divisors is an integer number (3844620).
Almost surely, 276886200 is an apocalyptic number.
76886200 is the 12400-th triangular number.
76886200 is the 4134-th centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 76886200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92270880).
76886200 is an abundant number, since it is smaller than the sum of its proper divisors (107655560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76886200 is a wasteful number, since it uses less digits than its factorization.
76886200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12448 (or 12439 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 37.
The square root of 76886200 is about 8768.4776329760. The cubic root of 76886200 is about 425.2223980187. Note that the first 3 decimals are identical.
It can be divided in two parts, 768 and 86200, that added together give a palindrome (86968).
The spelling of 76886200 in words is "seventy-six million, eight hundred eighty-six thousand, two hundred".
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