Search a number
-
+
8287116 = 2231921913
BaseRepresentation
bin11111100111001110001100
3120121000210020
4133213032030
54110141431
6453342140
7130303455
oct37471614
916530706
108287116
114750262
122937950
131942026
14115a12c
15ada696
hex7e738c

8287116 has 36 divisors (see below), whose sum is σ = 20418552. Its totient is φ = 2615616.

The previous prime is 8287099. The next prime is 8287117. The reversal of 8287116 is 6117828.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (8287117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3376 + ... + 5288.

It is an arithmetic number, because the mean of its divisors is an integer number (567182).

Almost surely, 28287116 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 8287116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10209276).

8287116 is an abundant number, since it is smaller than the sum of its proper divisors (12131436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8287116 is a wasteful number, since it uses less digits than its factorization.

8287116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1937 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 8287116 is about 2878.7351389108. The cubic root of 8287116 is about 202.3645672688.

The spelling of 8287116 in words is "eight million, two hundred eighty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 1913 2166 3826 4332 5739 7652 11478 22956 36347 72694 109041 145388 218082 436164 690593 1381186 2071779 2762372 4143558 8287116