Search a number
-
+
4227944448 = 212371319199
BaseRepresentation
bin1111110000000001…
…0101000000000000
3101220122121211110010
43330000111000000
532124323210243
61535311304520
7206525635440
oct37400250000
911818554403
104227944448
11187a623272
1299bb1b140
13524c111a0
142c172c120
1519b29e433
hexfc015000

4227944448 has 416 divisors, whose sum is σ = 14678272000. Its totient is φ = 1051066368.

The previous prime is 4227944437. The next prime is 4227944449. The reversal of 4227944448 is 8444497224.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 4227944397 and 4227944406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4227944449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21245853 + ... + 21246051.

Almost surely, 24227944448 is an apocalyptic number.

4227944448 is a gapful number since it is divisible by the number (48) 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 4227944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339136000).

4227944448 is an abundant number, since it is smaller than the sum of its proper divisors (10450327552).

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

4227944448 is a wasteful number, since it uses less digits than its factorization.

4227944448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The square root of 4227944448 is about 65022.6456551869. The cubic root of 4227944448 is about 1616.9990228277. Note that the first 3 decimals are identical.

The spelling of 4227944448 in words is "four billion, two hundred twenty-seven million, nine hundred forty-four thousand, four hundred forty-eight".