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855271872 = 2634731337
BaseRepresentation
bin110010111110100…
…110100111000000
32012121100022110000
4302332212213000
53222422144442
6220511240000
730123456000
oct6276464700
92177308400
10855271872
113a9862464
121ba519000
13108265a40
1481836000
1550143d4c
hex32fa69c0

855271872 has 560 divisors, whose sum is σ = 3270097600. Its totient is φ = 219469824.

The previous prime is 855271841. The next prime is 855271873. The reversal of 855271872 is 278172558.

855271872 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 not an unprimeable number, because it can be changed into a prime (855271873) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23115438 + ... + 23115474.

It is an arithmetic number, because the mean of its divisors is an integer number (5839460).

Almost surely, 2855271872 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 855271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635048800).

855271872 is an abundant number, since it is smaller than the sum of its proper divisors (2414825728).

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

855271872 is a wasteful number, since it uses less digits than its factorization.

855271872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 62 counting only the distinct ones).

The product of its digits is 313600, while the sum is 45.

The square root of 855271872 is about 29245.0315780305. The cubic root of 855271872 is about 949.2225854129. Note that the first 3 decimals are identical.

The spelling of 855271872 in words is "eight hundred fifty-five million, two hundred seventy-one thousand, eight hundred seventy-two".