Search a number
-
+
855276800 = 28527171123
BaseRepresentation
bin110010111110100…
…111110100000000
32012121100120012112
4302332213310000
53222422324200
6220511314452
730123506240
oct6276476400
92177316175
10855276800
113a9866134
121ba51ba28
13108268061
1481837b20
1550145535
hex32fa7d00

855276800 has 216 divisors, whose sum is σ = 2563960896. Its totient is φ = 275742720.

The previous prime is 855276767. The next prime is 855276809. The reversal of 855276800 is 8672558.

855276800 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 (855276809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761039 + ... + 762161.

Almost surely, 2855276800 is an apocalyptic number.

855276800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281980448).

855276800 is an abundant number, since it is smaller than the sum of its proper divisors (1708684096).

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

855276800 is a wasteful number, since it uses less digits than its factorization.

855276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 855276800 is about 29245.1158315367. The cubic root of 855276800 is about 949.2244085213.

The spelling of 855276800 in words is "eight hundred fifty-five million, two hundred seventy-six thousand, eight hundred".