Search a number
-
+
504196056 = 2333713113227
BaseRepresentation
bin11110000011010…
…110101111011000
31022010201210222000
4132003112233120
52013033233211
6122010401000
715331411230
oct3603265730
91263653860
10504196056
11239672a61
12120a30160
13805c3c80
144ad68cc0
152e3e6656
hex1e0d6bd8

504196056 has 256 divisors, whose sum is σ = 1746662400. Its totient is φ = 131217408.

The previous prime is 504196051. The next prime is 504196057. The reversal of 504196056 is 650691405.

504196056 is a `hidden beast` number, since 5 + 0 + 41 + 9 + 605 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 504196056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504196051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2221015 + ... + 2221241.

It is an arithmetic number, because the mean of its divisors is an integer number (6822900).

Almost surely, 2504196056 is an apocalyptic number.

504196056 is a gapful number since it is divisible by the number (56) 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 504196056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873331200).

504196056 is an abundant number, since it is smaller than the sum of its proper divisors (1242466344).

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

504196056 is a wasteful number, since it uses less digits than its factorization.

504196056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 504196056 is about 22454.3104102531. The cubic root of 504196056 is about 795.9146184188.

The spelling of 504196056 in words is "five hundred four million, one hundred ninety-six thousand, fifty-six".