Search a number
-
+
9679696 = 2413173269
BaseRepresentation
bin100100111011…
…001101010000
3200012210001021
4210323031100
54434222241
6543245224
7145163455
oct44731520
920183037
109679696
115511554
1232a9814
13200bb40
1413dd82c
15cb30d1
hex93b350

9679696 has 40 divisors (see below), whose sum is σ = 20389320. Its totient is φ = 4425216.

The previous prime is 9679679. The next prime is 9679751. The reversal of 9679696 is 6969769.

It can be written as a sum of positive squares in 4 ways, for example, as 291600 + 9388096 = 540^2 + 3064^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35850 + ... + 36118.

It is an arithmetic number, because the mean of its divisors is an integer number (509733).

Almost surely, 29679696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9679696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10194660).

9679696 is an abundant number, since it is smaller than the sum of its proper divisors (10709624).

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

9679696 is a wasteful number, since it uses less digits than its factorization.

9679696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 52.

The square root of 9679696 is about 3111.2209821869. The cubic root of 9679696 is about 213.1182163170.

The spelling of 9679696 in words is "nine million, six hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 173 208 269 346 538 692 1076 1384 2152 2249 2768 3497 4304 4498 6994 8996 13988 17992 27976 35984 46537 55952 93074 186148 372296 604981 744592 1209962 2419924 4839848 9679696