Search a number
-
+
4974159456 = 2536783367
BaseRepresentation
bin1001010000111101…
…11010011001100000
3110211122202111000000
410220132322121200
540141341100311
62141325300000
7234156441420
oct45036723140
913748674000
104974159456
112122868692
12b69a04600
136136b1c26
14352896480
151e1a50056
hex1287ba660

4974159456 has 336 divisors, whose sum is σ = 17028555264. Its totient is φ = 1400239872.

The previous prime is 4974159427. The next prime is 4974159457. The reversal of 4974159456 is 6549514794.

4974159456 is a `hidden beast` number, since 4 + 9 + 7 + 41 + 594 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×49741594563 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4974159457) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13553385 + ... + 13553751.

It is an arithmetic number, because the mean of its divisors is an integer number (50680224).

Almost surely, 24974159456 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 4974159456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8514277632).

4974159456 is an abundant number, since it is smaller than the sum of its proper divisors (12054395808).

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

4974159456 is an equidigital number, since it uses as much as digits as its factorization.

4974159456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 462 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 4974159456 is about 70527.7211881966. The cubic root of 4974159456 is about 1707.0250767718.

The spelling of 4974159456 in words is "four billion, nine hundred seventy-four million, one hundred fifty-nine thousand, four hundred fifty-six".