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858195072 = 27327313433
BaseRepresentation
bin110011001001110…
…000010010000000
32012210211211022200
4303021300102000
53224144220242
6221054033200
730160352310
oct6311602200
92183754280
10858195072
11400479729
121bb4a8800
13108a4a447
1481d97440
155052004c
hex33270480

858195072 has 192 divisors, whose sum is σ = 2914229760. Its totient is φ = 237219840.

The previous prime is 858195053. The next prime is 858195077. The reversal of 858195072 is 270591858.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (858195077) 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, 248268 + ... + 251700.

It is an arithmetic number, because the mean of its divisors is an integer number (15178280).

Almost surely, 2858195072 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 858195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457114880).

858195072 is an abundant number, since it is smaller than the sum of its proper divisors (2056034688).

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

858195072 is a wasteful number, since it uses less digits than its factorization.

858195072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 858195072 is about 29294.9666666477. The cubic root of 858195072 is about 950.3027924930.

The spelling of 858195072 in words is "eight hundred fifty-eight million, one hundred ninety-five thousand, seventy-two".