Search a number
-
+
852016 = 241147103
BaseRepresentation
bin11010000000000110000
31121021202011
43100000300
5204231031
630132304
710146004
oct3200060
91537664
10852016
11532150
12351094
1323aa69
14182704
1511c6b1
hexd0030

852016 has 40 divisors (see below), whose sum is σ = 1857024. Its totient is φ = 375360.

The previous prime is 852013. The next prime is 852031. The reversal of 852016 is 610258.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (852011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8221 + ... + 8323.

2852016 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 852016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928512).

852016 is an abundant number, since it is smaller than the sum of its proper divisors (1005008).

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

852016 is a wasteful number, since it uses less digits than its factorization.

852016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 852016 is about 923.0471277243. The cubic root of 852016 is about 94.8016545018.

The spelling of 852016 in words is "eight hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 103 176 188 206 376 412 517 752 824 1034 1133 1648 2068 2266 4136 4532 4841 8272 9064 9682 18128 19364 38728 53251 77456 106502 213004 426008 852016