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855834252 = 2237132192167
BaseRepresentation
bin110011000000101…
…111111010001100
32012122101212212220
4303000233322030
53223043144002
6220531255340
730131320410
oct6300577214
92178355786
10855834252
113aa106a39
121ba74a550
13108401a00
1481940d40
15502057bc
hex3302fe8c

855834252 has 216 divisors, whose sum is σ = 2623815936. Its totient is φ = 212554368.

The previous prime is 855834251. The next prime is 855834269. The reversal of 855834252 is 252438558.

It is a happy number.

855834252 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 (42).

It is not an unprimeable number, because it can be changed into a prime (855834251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5124673 + ... + 5124839.

It is an arithmetic number, because the mean of its divisors is an integer number (12147296).

Almost surely, 2855834252 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 855834252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311907968).

855834252 is an abundant number, since it is smaller than the sum of its proper divisors (1767981684).

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

855834252 is a wasteful number, since it uses less digits than its factorization.

855834252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

The square root of 855834252 is about 29254.6449645180. The cubic root of 855834252 is about 949.4305921117.

It can be divided in two parts, 855834 and 252, that added together give a triangular number (856086 = T1308).

The spelling of 855834252 in words is "eight hundred fifty-five million, eight hundred thirty-four thousand, two hundred fifty-two".