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812552 = 23132601
BaseRepresentation
bin11000110011000001000
31112021121112
43012120020
5202000202
625225452
76622646
oct3063010
91467545
10812552
11505534
12332288
13225b00
14172196
15110b52
hexc6608

812552 has 24 divisors (see below), whose sum is σ = 1652490. Its totient is φ = 374400.

The previous prime is 812527. The next prime is 812587. The reversal of 812552 is 255218.

812552 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 3 ways, for example, as 556516 + 256036 = 746^2 + 506^2 .

It is a zygodrome in base 12.

It is an unprimeable number.

812552 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 5 ways as a sum of consecutive naturals, for example, 1052 + ... + 1652.

812552 is a Friedman number, since it can be written as 52*(5^(8-2)+1), using all its digits and the basic arithmetic operations.

2812552 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 812552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826245).

812552 is an abundant number, since it is smaller than the sum of its proper divisors (839938).

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

812552 is a wasteful number, since it uses less digits than its factorization.

812552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 812552 is about 901.4166628147. The cubic root of 812552 is about 93.3147695506.

It can be divided in two parts, 8125 and 52, that multiplied together give a square (422500 = 6502).

The spelling of 812552 in words is "eight hundred twelve thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 601 676 1202 1352 2404 4808 7813 15626 31252 62504 101569 203138 406276 812552