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855191040 = 29351153191
BaseRepresentation
bin110010111110010…
…010111000000000
32012121012012120020
4302332102320000
53222412103130
6220505413440
730123001224
oct6276227000
92177165506
10855191040
113a9807760
121ba49a280
13108238002
1481814784
1550129e10
hex32f92e00

855191040 has 320 divisors, whose sum is σ = 3054661632. Its totient is φ = 202342400.

The previous prime is 855191033. The next prime is 855191059. The reversal of 855191040 is 40191558.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 855190992 and 855191010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4477345 + ... + 4477535.

Almost surely, 2855191040 is an apocalyptic number.

855191040 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 855191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527330816).

855191040 is an abundant number, since it is smaller than the sum of its proper divisors (2199470592).

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

855191040 is a wasteful number, since it uses less digits than its factorization.

855191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 855191040 is about 29243.6495670428. The cubic root of 855191040 is about 949.1926807008.

The spelling of 855191040 in words is "eight hundred fifty-five million, one hundred ninety-one thousand, forty".