Search a number
-
+
8906796 = 22322331347
BaseRepresentation
bin100001111110…
…100000101100
3121202111211100
4201332200230
54240004141
6514523100
7135464223
oct41764054
917674740
108906796
115033898
122b96490
131acb0c2
14127bcba
15bae0b6
hex87e82c

8906796 has 72 divisors (see below), whose sum is σ = 24321024. Its totient is φ = 2740320.

The previous prime is 8906789. The next prime is 8906797. The reversal of 8906796 is 6976098.

It is not an unprimeable number, because it can be changed into a prime (8906797) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25495 + ... + 25841.

It is an arithmetic number, because the mean of its divisors is an integer number (337792).

Almost surely, 28906796 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 8906796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12160512).

8906796 is an abundant number, since it is smaller than the sum of its proper divisors (15414228).

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

8906796 is a wasteful number, since it uses less digits than its factorization.

8906796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 8906796 is about 2984.4255728699. The cubic root of 8906796 is about 207.2878443184.

The spelling of 8906796 in words is "eight million, nine hundred six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 347 372 414 558 694 713 828 1041 1116 1388 1426 2082 2139 2852 3123 4164 4278 6246 6417 7981 8556 10757 12492 12834 15962 21514 23943 25668 31924 32271 43028 47886 64542 71829 95772 96813 129084 143658 193626 247411 287316 387252 494822 742233 989644 1484466 2226699 2968932 4453398 8906796