Search a number
-
+
2466147104 = 25199914093
BaseRepresentation
bin1001001011111110…
…0110101100100000
320100212111020211122
42102333212230200
520022313201404
61044414031412
7115053622151
oct22277465440
96325436748
102466147104
111056091903
12589aa8568
13303c08855
1419575b928
15e67903be
hex92fe6b20

2466147104 has 48 divisors (see below), whose sum is σ = 5117172480. Its totient is φ = 1166711040.

The previous prime is 2466147067. The next prime is 2466147107. The reversal of 2466147104 is 4017416642.

2466147104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2466147107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600482 + ... + 604574.

It is an arithmetic number, because the mean of its divisors is an integer number (106607760).

Almost surely, 22466147104 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 2466147104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558586240).

2466147104 is an abundant number, since it is smaller than the sum of its proper divisors (2651025376).

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

2466147104 is a wasteful number, since it uses less digits than its factorization.

2466147104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 2466147104 is about 49660.3171959262. The cubic root of 2466147104 is about 1351.0548872498.

The spelling of 2466147104 in words is "two billion, four hundred sixty-six million, one hundred forty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 991 1982 3964 4093 7928 8186 15856 16372 18829 31712 32744 37658 65488 75316 77767 130976 150632 155534 301264 311068 602528 622136 1244272 2488544 4056163 8112326 16224652 32449304 64898608 77067097 129797216 154134194 308268388 616536776 1233073552 2466147104