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968382 = 23379227
BaseRepresentation
bin11101100011010111110
31211012101000
43230122332
5221442012
632431130
711142162
oct3543276
91735330
10968382
11601618
123a84a6
1327ba0c
141b2ca2
15141ddc
hexec6be

968382 has 32 divisors (see below), whose sum is σ = 2188800. Its totient is φ = 317304.

The previous prime is 968381. The next prime is 968389. The reversal of 968382 is 283869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4153 + ... + 4379.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

2968382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094400).

968382 is an abundant number, since it is smaller than the sum of its proper divisors (1220418).

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

968382 is a wasteful number, since it uses less digits than its factorization.

968382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 968382 is about 984.0640223075. The cubic root of 968382 is about 98.9347595876.

The spelling of 968382 in words is "nine hundred sixty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 79 158 227 237 454 474 681 711 1362 1422 2043 2133 4086 4266 6129 12258 17933 35866 53799 107598 161397 322794 484191 968382