Search a number
-
+
6428032 = 27133863
BaseRepresentation
bin11000100001010110000000
3110002120121021
4120201112000
53121144112
6345435224
7105431422
oct30412600
913076537
106428032
1136a0526
12219bb14
131440a90
14bd4812
1586e907
hex621580

6428032 has 32 divisors (see below), whose sum is σ = 13794480. Its totient is φ = 2966016.

The previous prime is 6428029. The next prime is 6428033. The reversal of 6428032 is 2308246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 6427988 and 6428006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6428033) by changing a digit.

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, 268 + ... + 3595.

Almost surely, 26428032 is an apocalyptic number.

It is an amenable number.

6428032 is an abundant number, since it is smaller than the sum of its proper divisors (7366448).

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

6428032 is a wasteful number, since it uses less digits than its factorization.

6428032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 6428032 is about 2535.3563852050. The cubic root of 6428032 is about 185.9342273322.

It can be divided in two parts, 642803 and 2, that multiplied together give a triangular number (1285606 = T1603).

The spelling of 6428032 in words is "six million, four hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 3863 7726 15452 30904 50219 61808 100438 123616 200876 247232 401752 494464 803504 1607008 3214016 6428032