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853372672 = 2816719961
BaseRepresentation
bin110010110111010…
…110111100000000
32012110202211020021
4302313112330000
53221430411142
6220402423224
730101355655
oct6267267400
92173684207
10853372672
113a8785579
121b9961b14
13107a4c459
148149dc2c
154edbb267
hex32dd6f00

853372672 has 36 divisors (see below), whose sum is σ = 1713697776. Its totient is φ = 424110080.

The previous prime is 853372651. The next prime is 853372687. The reversal of 853372672 is 276273358.

853372672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32772 + ... + 52732.

It is an arithmetic number, because the mean of its divisors is an integer number (47602716).

Almost surely, 2853372672 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 853372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856848888).

853372672 is an abundant number, since it is smaller than the sum of its proper divisors (860325104).

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

853372672 is a wasteful number, since it uses less digits than its factorization.

853372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20144 (or 20130 counting only the distinct ones).

The product of its digits is 423360, while the sum is 43.

The square root of 853372672 is about 29212.5430594462. The cubic root of 853372672 is about 948.5194563317.

The spelling of 853372672 in words is "eight hundred fifty-three million, three hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 668 1336 2672 5344 10688 19961 21376 39922 42752 79844 159688 319376 638752 1277504 2555008 3333487 5110016 6666974 13333948 26667896 53335792 106671584 213343168 426686336 853372672