Search a number
-
+
873565056 = 27327132641
BaseRepresentation
bin110100000100011…
…000101110000000
32020212202200222100
4310010120232000
53242113040211
6222403310400
730435115620
oct6404305600
92225680870
10873565056
114091173a1
1220467b400
1310bc9c300
1484038880
1551a59156
hex34118b80

873565056 has 288 divisors, whose sum is σ = 3115728720. Its totient is φ = 230031360.

The previous prime is 873565051. The next prime is 873565061. The reversal of 873565056 is 650565378.

873565056 is a `hidden beast` number, since 87 + 3 + 565 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (873565051) and next prime (873565061).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873565051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1362496 + ... + 1363136.

Almost surely, 2873565056 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 873565056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557864360).

873565056 is an abundant number, since it is smaller than the sum of its proper divisors (2242163664).

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

873565056 is a wasteful number, since it uses less digits than its factorization.

873565056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 873565056 is about 29556.1339826439. The cubic root of 873565056 is about 955.9424578614.

The spelling of 873565056 in words is "eight hundred seventy-three million, five hundred sixty-five thousand, fifty-six".