Search a number
-
+
9828064 = 25419733
BaseRepresentation
bin100101011111…
…011011100000
3200111022120101
4211133123200
510003444224
6550352144
7146352151
oct45373340
920438511
109828064
115602a74
12335b654
13206152c
14143b928
15ce2044
hex95f6e0

9828064 has 24 divisors (see below), whose sum is σ = 19421640. Its totient is φ = 4895616.

The previous prime is 9828053. The next prime is 9828067. The reversal of 9828064 is 4608289.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9828067) 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, 13042 + ... + 13774.

It is an arithmetic number, because the mean of its divisors is an integer number (809235).

Almost surely, 29828064 is an apocalyptic number.

It is an amenable number.

9828064 is a deficient number, since it is larger than the sum of its proper divisors (9593576).

9828064 is a wasteful number, since it uses less digits than its factorization.

9828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 9828064 is about 3134.9743220639. The cubic root of 9828064 is about 214.2015744163.

The spelling of 9828064 in words is "nine million, eight hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 419 733 838 1466 1676 2932 3352 5864 6704 11728 13408 23456 307127 614254 1228508 2457016 4914032 9828064