Base | Representation |
---|---|
bin | 1010011110011… |
… | …10010100000000 |
3 | 20010100121101200 |
4 | 11033032110000 |
5 | 134444024424 |
6 | 12415301200 |
7 | 2114640525 |
oct | 517162400 |
9 | 203317350 |
10 | 87876864 |
11 | 45671209 |
12 | 2551a800 |
13 | 1528a75a |
14 | b95714c |
15 | 7aac8c9 |
hex | 53ce500 |
87876864 has 108 divisors (see below), whose sum is σ = 259555296. Its totient is φ = 28578816.
The previous prime is 87876863. The next prime is 87876871. The reversal of 87876864 is 46867878.
It is a self number, because there is not a number n which added to its sum of digits gives 87876864.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (87876863) 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, 98629 + ... + 99515.
Almost surely, 287876864 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 87876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129777648).
87876864 is an abundant number, since it is smaller than the sum of its proper divisors (171678432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87876864 is a wasteful number, since it uses less digits than its factorization.
87876864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 952 (or 935 counting only the distinct ones).
The product of its digits is 3612672, while the sum is 54.
The square root of 87876864 is about 9374.2660512704. The cubic root of 87876864 is about 444.5884576267.
It can be divided in two parts, 8787 and 6864, that added together give a palindrome (15651).
The spelling of 87876864 in words is "eighty-seven million, eight hundred seventy-six thousand, eight hundred sixty-four".
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