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4227924480 = 293513174753
BaseRepresentation
bin1111110000000001…
…0000001000000000
3101220122120211001120
43330000100020000
532124322040410
61535311032240
7206525523303
oct37400201000
911818524046
104227924480
11187a60a26a
1299bb0b680
13524c05080
142c1724b3a
1519b298570
hexfc010200

4227924480 has 640 divisors, whose sum is σ = 16036973568. Its totient is φ = 940572672.

The previous prime is 4227924451. The next prime is 4227924511. The reversal of 4227924480 is 844297224.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79772134 + ... + 79772186.

Almost surely, 24227924480 is an apocalyptic number.

4227924480 is a gapful number since it is divisible by the number (40) 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 4227924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8018486784).

4227924480 is an abundant number, since it is smaller than the sum of its proper divisors (11809049088).

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

4227924480 is a wasteful number, since it uses less digits than its factorization.

4227924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4227924480 is about 65022.4921085004. The cubic root of 4227924480 is about 1616.9964772024.

The spelling of 4227924480 in words is "four billion, two hundred twenty-seven million, nine hundred twenty-four thousand, four hundred eighty".