Search a number
-
+
2479999104 = 2732112367127
BaseRepresentation
bin1001001111010001…
…1100100010000000
320101211120000012200
42103310130202000
520034334432404
61050030553200
7115312434042
oct22364344200
96354500180
102479999104
111062993040
12592668800
13306a487bb
14197525a92
15e7ac9839
hex93d1c880

2479999104 has 384 divisors, whose sum is σ = 8309882880. Its totient is φ = 702535680.

The previous prime is 2479999087. The next prime is 2479999129. The reversal of 2479999104 is 4019999742.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19527489 + ... + 19527615.

It is an arithmetic number, because the mean of its divisors is an integer number (21640320).

Almost surely, 22479999104 is an apocalyptic number.

2479999104 is a gapful number since it is divisible by the number (24) 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 2479999104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154941440).

2479999104 is an abundant number, since it is smaller than the sum of its proper divisors (5829883776).

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

2479999104 is a wasteful number, since it uses less digits than its factorization.

2479999104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 2479999104 is about 49799.5893958976. The cubic root of 2479999104 is about 1353.5797274096.

The spelling of 2479999104 in words is "two billion, four hundred seventy-nine million, nine hundred ninety-nine thousand, one hundred four".