Search a number
-
+
6472305 = 3557761
BaseRepresentation
bin11000101100001001110001
3110011211100000
4120230021301
53124103210
6350420213
7106004460
oct30541161
913154300
106472305
113720814
122201669
131457c88
14c069d7
1587cac0
hex62c271

6472305 has 48 divisors (see below), whose sum is σ = 13313664. Its totient is φ = 2954880.

The previous prime is 6472261. The next prime is 6472309. The reversal of 6472305 is 5032746.

It is a happy number.

It is not a de Polignac number, because 6472305 - 28 = 6472049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a d-powerful number, because it can be written as 64 + 411 + 74 + 221 + 311 + 0 + 5 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6472309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8125 + ... + 8885.

It is an arithmetic number, because the mean of its divisors is an integer number (277368).

Almost surely, 26472305 is an apocalyptic number.

It is an amenable number.

6472305 is an abundant number, since it is smaller than the sum of its proper divisors (6841359).

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

6472305 is an equidigital number, since it uses as much as digits as its factorization.

6472305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 6472305 is about 2544.0725225512. The cubic root of 6472305 is about 186.3601243547.

The spelling of 6472305 in words is "six million, four hundred seventy-two thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 761 945 1215 1701 2283 2835 3805 5327 6849 8505 11415 15981 20547 26635 34245 47943 61641 79905 102735 143829 184923 239715 308205 431487 719145 924615 1294461 2157435 6472305