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4382628144 = 24391304753
BaseRepresentation
bin1000001010011100…
…11001100100110000
3102022102200120120220
410011032121210300
532433423100034
62002514533040
7213414503346
oct40516314460
912272616526
104382628144
111949974434
12a23897180
1354ac8cbbb
142d80b5996
151a9b56749
hex105399930

4382628144 has 20 divisors (see below), whose sum is σ = 11321789496. Its totient is φ = 1460876032.

The previous prime is 4382628137. The next prime is 4382628149. The reversal of 4382628144 is 4418262834.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4382628096 and 4382628105.

It is not an unprimeable number, because it can be changed into a prime (4382628149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45652329 + ... + 45652424.

Almost surely, 24382628144 is an apocalyptic number.

It is an amenable number.

4382628144 is an abundant number, since it is smaller than the sum of its proper divisors (6939161352).

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

4382628144 is a wasteful number, since it uses less digits than its factorization.

4382628144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91304764 (or 91304758 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 4382628144 is about 66201.4210119390. The cubic root of 4382628144 is about 1636.4831618327.

The spelling of 4382628144 in words is "four billion, three hundred eighty-two million, six hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 91304753 182609506 273914259 365219012 547828518 730438024 1095657036 1460876048 2191314072 4382628144