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852368 = 241129167
BaseRepresentation
bin11010000000110010000
31121022020012
43100012100
5204233433
630134052
710150016
oct3200620
91538205
10852368
11532440
12351328
1323ac7a
141828b6
1511c848
hexd0190

852368 has 40 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 371840.

The previous prime is 852367. The next prime is 852391. The reversal of 852368 is 863258.

It is not an unprimeable number, because it can be changed into a prime (852367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5021 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2852368 is an apocalyptic number.

852368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

852368 is an abundant number, since it is smaller than the sum of its proper divisors (1022512).

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

852368 is a wasteful number, since it uses less digits than its factorization.

852368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 852368 is about 923.2377808560. The cubic root of 852368 is about 94.8147080861.

The spelling of 852368 in words is "eight hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 167 176 232 319 334 464 638 668 1276 1336 1837 2552 2672 3674 4843 5104 7348 9686 14696 19372 29392 38744 53273 77488 106546 213092 426184 852368