Search a number
-
+
4974025056 = 25371113191271
BaseRepresentation
bin1001010000111100…
…11001100101100000
3110211122111122122020
410220132121211200
540141322300211
62141322341440
7234155341530
oct45036314540
913748448566
104974025056
112122786710
12b6995a880
136136659c0
1435285d4c0
151e1a25306
hex128799960

4974025056 has 384 divisors, whose sum is σ = 17687642112. Its totient is φ = 1181952000.

The previous prime is 4974025009. The next prime is 4974025081. The reversal of 4974025056 is 6505204794.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4974024999 and 4974025017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18354201 + ... + 18354471.

It is an arithmetic number, because the mean of its divisors is an integer number (46061568).

Almost surely, 24974025056 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 4974025056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843821056).

4974025056 is an abundant number, since it is smaller than the sum of its proper divisors (12713617056).

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

4974025056 is a wasteful number, since it uses less digits than its factorization.

4974025056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 4974025056 is about 70526.7683649265. The cubic root of 4974025056 is about 1707.0097022321.

The spelling of 4974025056 in words is "four billion, nine hundred seventy-four million, twenty-five thousand, fifty-six".