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886312 = 23731719
BaseRepresentation
bin11011000011000101000
31200000210101
43120120220
5211330222
630555144
710351000
oct3303050
91600711
10886312
11555999
12368ab4
1325055b
14191000
15127927
hexd8628

886312 has 64 divisors (see below), whose sum is σ = 2160000. Its totient is φ = 338688.

The previous prime is 886307. The next prime is 886313. The reversal of 886312 is 213688.

It is a super-2 number, since 2×8863122 = 1571097922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (886313) by changing a digit.

886312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46639 + ... + 46657.

It is an arithmetic number, because the mean of its divisors is an integer number (33750).

2886312 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 886312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080000).

886312 is an abundant number, since it is smaller than the sum of its proper divisors (1273688).

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

886312 is a wasteful number, since it uses less digits than its factorization.

886312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 45 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 886312 is about 941.4414479934. The cubic root of 886312 is about 96.0569685018.

It can be divided in two parts, 88 and 6312, that added together give a square (6400 = 802).

The spelling of 886312 in words is "eight hundred eighty-six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 49 56 68 76 98 119 133 136 152 196 238 266 323 343 392 476 532 646 686 833 931 952 1064 1292 1372 1666 1862 2261 2584 2744 3332 3724 4522 5831 6517 6664 7448 9044 11662 13034 15827 18088 23324 26068 31654 46648 52136 63308 110789 126616 221578 443156 886312