Search a number
-
+
4485481728 = 28371324937
BaseRepresentation
bin1000010110101101…
…10000010100000000
3102120121020002011220
410023112300110000
533141240403403
62021031235040
7216103652130
oct41326602400
912517202156
104485481728
1119a1a348a2
12a52218a80
13566392500
14307a0aac0
151b3bc1953
hex10b5b0500

4485481728 has 216 divisors, whose sum is σ = 14776550208. Its totient is φ = 1182744576.

The previous prime is 4485481723. The next prime is 4485481751. The reversal of 4485481728 is 8271845844.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485481723) by changing a digit.

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, 906076 + ... + 911012.

Almost surely, 24485481728 is an apocalyptic number.

4485481728 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 4485481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388275104).

4485481728 is an abundant number, since it is smaller than the sum of its proper divisors (10291068480).

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

4485481728 is a wasteful number, since it uses less digits than its factorization.

4485481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4962 counting only the distinct ones).

The product of its digits is 2293760, while the sum is 51.

The square root of 4485481728 is about 66973.7390922741. The cubic root of 4485481728 is about 1649.1862198298.

The spelling of 4485481728 in words is "four billion, four hundred eighty-five million, four hundred eighty-one thousand, seven hundred twenty-eight".