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4391428608 = 2934722161
BaseRepresentation
bin1000001011011111…
…11110001000000000
3102100001020200120000
410011233332020000
532443201203413
62003431320000
7213552345600
oct40557761000
912301220500
104391428608
111953935346
12a26820000
1354ca51788
142d9326c00
151aa7e4073
hex105bfe200

4391428608 has 300 divisors, whose sum is σ = 15254274222. Its totient is φ = 1254113280.

The previous prime is 4391428607. The next prime is 4391428619. The reversal of 4391428608 is 8068241934.

It is a happy number.

4391428608 is a `hidden beast` number, since 4 + 3 + 9 + 14 + 28 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3536918784 + 854509824 = 59472^2 + 29232^2 .

It is a super-3 number, since 3×43914286083 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4391428603) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2031048 + ... + 2033208.

Almost surely, 24391428608 is an apocalyptic number.

4391428608 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 4391428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7627137111).

4391428608 is an abundant number, since it is smaller than the sum of its proper divisors (10862845614).

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

4391428608 is an equidigital number, since it uses as much as digits as its factorization.

4391428608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4391428608 is about 66267.8550128190. The cubic root of 4391428608 is about 1637.5778004563.

The spelling of 4391428608 in words is "four billion, three hundred ninety-one million, four hundred twenty-eight thousand, six hundred eight".