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4481226288 = 2433711237331
BaseRepresentation
bin1000010110001101…
…00001011000110000
3102120022012212211000
410023012201120300
533134143220123
62020400122000
7216022536450
oct41306413060
912508185730
104481226288
11199a598700
12a50906300
135655325b6
1430721dd60
151b3630b43
hex10b1a1630

4481226288 has 480 divisors, whose sum is σ = 16645045760. Its totient is φ = 1129075200.

The previous prime is 4481226287. The next prime is 4481226289. The reversal of 4481226288 is 8826221844.

4481226288 is a `hidden beast` number, since 4 + 4 + 8 + 12 + 2 + 628 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4481226287) and next prime (4481226289).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481226287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13538283 + ... + 13538613.

Almost surely, 24481226288 is an apocalyptic number.

4481226288 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 4481226288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8322522880).

4481226288 is an abundant number, since it is smaller than the sum of its proper divisors (12163819472).

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

4481226288 is a wasteful number, since it uses less digits than its factorization.

4481226288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 391 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 4481226288 is about 66941.9620865717. The cubic root of 4481226288 is about 1648.6645193774.

The spelling of 4481226288 in words is "four billion, four hundred eighty-one million, two hundred twenty-six thousand, two hundred eighty-eight".