Search a number
-
+
2094613248 = 283713174143
BaseRepresentation
bin111110011011001…
…0100001100000000
312101222101101012110
41330312110030000
513242210110443
6543502455320
7102622630110
oct17466241400
95358341173
102094613248
11985399a32
124a5594540
13274c53030
1415c287040
15c3d51233
hex7cd94300

2094613248 has 576 divisors, whose sum is σ = 7615060992. Its totient is φ = 495452160.

The previous prime is 2094613229. The next prime is 2094613249. The reversal of 2094613248 is 8423164902.

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

It is not an unprimeable number, because it can be changed into a prime (2094613249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48711915 + ... + 48711957.

It is an arithmetic number, because the mean of its divisors is an integer number (13220592).

Almost surely, 22094613248 is an apocalyptic number.

2094613248 is a gapful number since it is divisible by the number (28) 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 2094613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807530496).

2094613248 is an abundant number, since it is smaller than the sum of its proper divisors (5520447744).

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

2094613248 is a wasteful number, since it uses less digits than its factorization.

2094613248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2094613248 is about 45766.9449275348. The cubic root of 2094613248 is about 1279.4832810188.

The spelling of 2094613248 in words is "two billion, ninety-four million, six hundred thirteen thousand, two hundred forty-eight".