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838002 = 231112697
BaseRepresentation
bin11001100100101110010
31120120112010
43030211302
5203304002
625543350
710060104
oct3144562
91516463
10838002
11522670
12344b56
13234579
1417b574
1511846c
hexcc972

838002 has 16 divisors (see below), whose sum is σ = 1828512. Its totient is φ = 253920.

The previous prime is 837979. The next prime is 838003. The reversal of 838002 is 200838.

838002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 838002.

It is not an unprimeable number, because it can be changed into a prime (838003) 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, 6283 + ... + 6414.

It is an arithmetic number, because the mean of its divisors is an integer number (114282).

2838002 is an apocalyptic number.

838002 is an abundant number, since it is smaller than the sum of its proper divisors (990510).

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

838002 is a wasteful number, since it uses less digits than its factorization.

838002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12713.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 838002 is about 915.4244916977. The cubic root of 838002 is about 94.2790110675.

The spelling of 838002 in words is "eight hundred thirty-eight thousand, two".

Divisors: 1 2 3 6 11 22 33 66 12697 25394 38091 76182 139667 279334 419001 838002