Search a number
-
+
897757056 = 27327163683
BaseRepresentation
bin110101100000101…
…010111110000000
32022120021210011100
4311200222332000
53314311211211
6225030014400
731150544340
oct6540527600
92276253140
10897757056
11420840189
122107a7400
13113cbc7c1
1487334d20
1553c37156
hex3582af80

897757056 has 192 divisors, whose sum is σ = 2974907520. Its totient is φ = 254555136.

The previous prime is 897757009. The next prime is 897757111. The reversal of 897757056 is 650757798.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 897756993 and 897757011.

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 23 ways as a sum of consecutive naturals, for example, 1314091 + ... + 1314773.

It is an arithmetic number, because the mean of its divisors is an integer number (15494310).

Almost surely, 2897757056 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 897757056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487453760).

897757056 is an abundant number, since it is smaller than the sum of its proper divisors (2077150464).

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

897757056 is a wasteful number, since it uses less digits than its factorization.

897757056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The square root of 897757056 is about 29962.5942802021. The cubic root of 897757056 is about 964.6866660599.

The spelling of 897757056 in words is "eight hundred ninety-seven million, seven hundred fifty-seven thousand, fifty-six".