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852252 = 223293179
BaseRepresentation
bin11010000000100011100
31121022001220
43100010130
5204233002
630133340
710146462
oct3200434
91538056
10852252
11532345
12351250
1323abbb
14182832
1511c7bc
hexd011c

852252 has 48 divisors (see below), whose sum is σ = 2150400. Its totient is φ = 262080.

The previous prime is 852239. The next prime is 852253. The reversal of 852252 is 252258.

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 852252.

It is not an unprimeable number, because it can be changed into a prime (852253) by changing a digit.

852252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10749 + ... + 10827.

It is an arithmetic number, because the mean of its divisors is an integer number (44800).

2852252 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 852252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075200).

852252 is an abundant number, since it is smaller than the sum of its proper divisors (1298148).

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

852252 is a wasteful number, since it uses less digits than its factorization.

852252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 852252 is about 923.1749563328. The cubic root of 852252 is about 94.8104067338.

The spelling of 852252 in words is "eight hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 31 58 62 79 87 93 116 124 158 174 186 237 316 348 372 474 899 948 1798 2291 2449 2697 3596 4582 4898 5394 6873 7347 9164 9796 10788 13746 14694 27492 29388 71021 142042 213063 284084 426126 852252