Search a number
-
+
855326304 = 25347174759
BaseRepresentation
bin110010111110110…
…011111001100000
32012121110002010000
4302332303321200
53222430420204
6220512340000
730124103460
oct6276637140
92177402100
10855326304
113a989a348
121ba544600
13108284751
148184bba0
1550155039
hex32fb3e60

855326304 has 480 divisors, whose sum is σ = 3161410560. Its totient is φ = 221294592.

The previous prime is 855326293. The next prime is 855326333. The reversal of 855326304 is 403623558.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14497027 + ... + 14497085.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 2855326304 is an apocalyptic number.

855326304 is a gapful number since it is divisible by the number (84) 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 855326304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580705280).

855326304 is an abundant number, since it is smaller than the sum of its proper divisors (2306084256).

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

855326304 is a wasteful number, since it uses less digits than its factorization.

855326304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 855326304 is about 29245.9621828382. The cubic root of 855326304 is about 949.2427220850.

The spelling of 855326304 in words is "eight hundred fifty-five million, three hundred twenty-six thousand, three hundred four".