Search a number
-
+
4454740224 = 2832111371283
BaseRepresentation
bin1000010011000010…
…11111000100000000
3102111110101020202200
410021201133010000
533110403141344
62014012313200
7215251444554
oct41141370400
912443336680
104454740224
1119866482a0
12a43a72800
1355cbbab7c
143038c7864
151b114d069
hex10985f100

4454740224 has 216 divisors, whose sum is σ = 14125037472. Its totient is φ = 1339023360.

The previous prime is 4454740193. The next prime is 4454740289. The reversal of 4454740224 is 4220474544.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3471487 + ... + 3472769.

It is an arithmetic number, because the mean of its divisors is an integer number (65393692).

Almost surely, 24454740224 is an apocalyptic number.

4454740224 is a gapful number since it is divisible by the number (44) 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 4454740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062518736).

4454740224 is an abundant number, since it is smaller than the sum of its proper divisors (9670297248).

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

4454740224 is a wasteful number, since it uses less digits than its factorization.

4454740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

The square root of 4454740224 is about 66743.8403450086. The cubic root of 4454740224 is about 1645.4099825917.

The spelling of 4454740224 in words is "four billion, four hundred fifty-four million, seven hundred forty thousand, two hundred twenty-four".