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4442426064 = 2432290310627
BaseRepresentation
bin1000010001100101…
…00000101011010000
3102110121012121220200
410020302200223100
533044230113224
62012452335200
7215041666326
oct41062405320
912417177820
104442426064
11197a6a74aa
12a3b914500
1355a498b9b
14301dddd16
151b00195c9
hex108ca0ad0

4442426064 has 60 divisors (see below), whose sum is σ = 12438075936. Its totient is φ = 1480159296.

The previous prime is 4442426059. The next prime is 4442426069. The reversal of 4442426064 is 4606242444.

4442426064 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 42 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4442426059) and next prime (4442426069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442426069) 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 11 ways as a sum of consecutive naturals, for example, 412719 + ... + 423345.

Almost surely, 24442426064 is an apocalyptic number.

It is an amenable number.

4442426064 is an abundant number, since it is smaller than the sum of its proper divisors (7995649872).

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

4442426064 is a wasteful number, since it uses less digits than its factorization.

4442426064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13544 (or 13535 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 4442426064 is about 66651.5270942834. The cubic root of 4442426064 is about 1643.8924574901.

The spelling of 4442426064 in words is "four billion, four hundred forty-two million, four hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2903 5806 8709 10627 11612 17418 21254 23224 26127 31881 34836 42508 46448 52254 63762 69672 85016 95643 104508 127524 139344 170032 191286 209016 255048 382572 418032 510096 765144 1530288 30850181 61700362 92550543 123400724 185101086 246801448 277651629 370202172 493602896 555303258 740404344 1110606516 1480808688 2221213032 4442426064