Search a number
-
+
6042025080 = 233257131719571
BaseRepresentation
bin1011010000010000…
…11111110001111000
3120121002010200020200
411220020133301320
544333224300310
62435313322200
7302504236320
oct55010376170
916532120220
106042025080
112620624963
121207566360
137539c1290
1441462c280
152556899c0
hex16821fc78

6042025080 has 768 divisors, whose sum is σ = 26983756800. Its totient is φ = 1134673920.

The previous prime is 6042025079. The next prime is 6042025139. The reversal of 6042025080 is 805202406.

6042025080 is a `hidden beast` number, since 604 + 2 + 0 + 2 + 50 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10581195 + ... + 10581765.

It is an arithmetic number, because the mean of its divisors is an integer number (35135100).

Almost surely, 26042025080 is an apocalyptic number.

6042025080 is a gapful number since it is divisible by the number (60) 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 6042025080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491878400).

6042025080 is an abundant number, since it is smaller than the sum of its proper divisors (20941731720).

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

6042025080 is a wasteful number, since it uses less digits than its factorization.

6042025080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6042025080 is about 77730.4642981116. The cubic root of 6042025080 is about 1821.3532060693.

Adding to 6042025080 its reverse (805202406), we get a palindrome (6847227486).

The spelling of 6042025080 in words is "six billion, forty-two million, twenty-five thousand, eighty".