Search a number
-
+
6442016 = 25728759
BaseRepresentation
bin11000100100110000100000
3110010021210012
4120210300200
53122121031
6350024052
7105520250
oct30446040
913107705
106442016
1136aaa89
1221a8028
131447259
14bd9960
15873b2b
hex624c20

6442016 has 24 divisors (see below), whose sum is σ = 14495040. Its totient is φ = 2760768.

The previous prime is 6442003. The next prime is 6442021. The reversal of 6442016 is 6102446.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6441982 and 6442000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14156 + ... + 14603.

It is an arithmetic number, because the mean of its divisors is an integer number (603960).

Almost surely, 26442016 is an apocalyptic number.

It is an amenable number.

6442016 is an abundant number, since it is smaller than the sum of its proper divisors (8053024).

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

6442016 is a wasteful number, since it uses less digits than its factorization.

6442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28776 (or 28768 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 6442016 is about 2538.1126846537. The cubic root of 6442016 is about 186.0689612096.

The spelling of 6442016 in words is "six million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 28759 57518 115036 201313 230072 402626 460144 805252 920288 1610504 3221008 6442016