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856493568 = 2933753167
BaseRepresentation
bin110011000011010…
…000111000000000
32012200122101022000
4303003100320000
53223230243233
6220553344000
730140034540
oct6303207000
92180571260
10856493568
113aa517327
121baa08000
131085a2b38
1481a73320
15502d5d13
hex330d0e00

856493568 has 320 divisors, whose sum is σ = 2969809920. Its totient is φ = 238657536.

The previous prime is 856493563. The next prime is 856493581. The reversal of 856493568 is 865394658.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856493563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5128621 + ... + 5128787.

It is an arithmetic number, because the mean of its divisors is an integer number (9280656).

Almost surely, 2856493568 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 856493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

856493568 is an abundant number, since it is smaller than the sum of its proper divisors (2113316352).

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

856493568 is a wasteful number, since it uses less digits than its factorization.

856493568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 856493568 is about 29265.9113645893. The cubic root of 856493568 is about 949.6743363888.

The spelling of 856493568 in words is "eight hundred fifty-six million, four hundred ninety-three thousand, five hundred sixty-eight".