Search a number
-
+
8256248130 = 23513236179191
BaseRepresentation
bin1111011000001110…
…00101100101000010
3210022101120212020210
413230013011211002
5113402044420010
63443132014550
7411411644154
oct75407054502
923271525223
108256248130
113557489469
121725001456
13a17662730
1458472cad4
15334c65b20
hex1ec1c5942

8256248130 has 256 divisors, whose sum is σ = 23038525440. Its totient is φ = 1877990400.

The previous prime is 8256248111. The next prime is 8256248141. The reversal of 8256248130 is 318426528.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43226335 + ... + 43226525.

It is an arithmetic number, because the mean of its divisors is an integer number (89994240).

Almost surely, 28256248130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8256248130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11519262720).

8256248130 is an abundant number, since it is smaller than the sum of its proper divisors (14782277310).

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

8256248130 is a wasteful number, since it uses less digits than its factorization.

8256248130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377.

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 8256248130 is about 90863.8989368165. The cubic root of 8256248130 is about 2021.1299864987.

The spelling of 8256248130 in words is "eight billion, two hundred fifty-six million, two hundred forty-eight thousand, one hundred thirty".