Search a number
-
+
9879264 = 253234303
BaseRepresentation
bin100101101011…
…111011100000
3200120220210200
4211223323200
510012114024
6551425200
7146654343
oct45537340
920526720
109879264
11563848a
123385200
13207b925
14145245a
15d022c9
hex96bee0

9879264 has 36 divisors (see below), whose sum is σ = 28094976. Its totient is φ = 3292992.

The previous prime is 9879263. The next prime is 9879269. The reversal of 9879264 is 4629789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9879263) 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 5 ways as a sum of consecutive naturals, for example, 16864 + ... + 17439.

It is an arithmetic number, because the mean of its divisors is an integer number (780416).

Almost surely, 29879264 is an apocalyptic number.

It is an amenable number.

9879264 is an abundant number, since it is smaller than the sum of its proper divisors (18215712).

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

9879264 is a wasteful number, since it uses less digits than its factorization.

9879264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34319 (or 34308 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9879264 is about 3143.1296505235. The cubic root of 9879264 is about 214.5728964750.

The spelling of 9879264 in words is "nine million, eight hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 34303 68606 102909 137212 205818 274424 308727 411636 548848 617454 823272 1097696 1234908 1646544 2469816 3293088 4939632 9879264