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6852096 = 29321487
BaseRepresentation
bin11010001000111000000000
3110220010022100
4122020320000
53223231341
6402510400
7112145646
oct32107000
913803270
106852096
113960099
122365400
13155bac4
14ca5196
159053b6
hex688e00

6852096 has 60 divisors (see below), whose sum is σ = 19788912. Its totient is φ = 2282496.

The previous prime is 6852089. The next prime is 6852101. The reversal of 6852096 is 6902586.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6852096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3865 + ... + 5351.

Almost surely, 26852096 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 6852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894456).

6852096 is an abundant number, since it is smaller than the sum of its proper divisors (12936816).

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

6852096 is a wasteful number, since it uses less digits than its factorization.

6852096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6852096 is about 2617.6508552517. The cubic root of 6852096 is about 189.9362297532.

The spelling of 6852096 in words is "six million, eight hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1487 1536 2304 2974 4461 4608 5948 8922 11896 13383 17844 23792 26766 35688 47584 53532 71376 95168 107064 142752 190336 214128 285504 380672 428256 571008 761344 856512 1142016 1713024 2284032 3426048 6852096