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839052 = 223317457
BaseRepresentation
bin11001100110110001100
31120121222000
43030312030
5203322202
625552300
710063134
oct3146614
91517860
10839052
11523435
12345690
13234ba6
1417bac4
1511891c
hexccd8c

839052 has 48 divisors (see below), whose sum is σ = 2308320. Its totient is φ = 262656.

The previous prime is 839051. The next prime is 839071. The reversal of 839052 is 250938.

839052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (839051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1608 + ... + 2064.

It is an arithmetic number, because the mean of its divisors is an integer number (48090).

2839052 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 839052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154160).

839052 is an abundant number, since it is smaller than the sum of its proper divisors (1469268).

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

839052 is a wasteful number, since it uses less digits than its factorization.

839052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 839052 is about 915.9978165913. The cubic root of 839052 is about 94.3183712142.

It can be divided in two parts, 8 and 39052, that added together give a triangular number (39060 = T279).

The spelling of 839052 in words is "eight hundred thirty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 457 459 612 914 918 1371 1828 1836 2742 4113 5484 7769 8226 12339 15538 16452 23307 24678 31076 46614 49356 69921 93228 139842 209763 279684 419526 839052