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9152968 = 2311472213
BaseRepresentation
bin100010111010…
…100111001000
3122020000111211
4202322213020
54320343333
6524102504
7140541016
oct42724710
918200454
109152968
115191840
123094a34
131b86176
1413038b6
15c0becd
hex8ba9c8

9152968 has 32 divisors (see below), whose sum is σ = 19128960. Its totient is φ = 4070080.

The previous prime is 9152947. The next prime is 9152977. The reversal of 9152968 is 8692519.

It is a self number, because there is not a number n which added to its sum of digits gives 9152968.

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, 3030 + ... + 5242.

It is an arithmetic number, because the mean of its divisors is an integer number (597780).

Almost surely, 29152968 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 9152968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9564480).

9152968 is an abundant number, since it is smaller than the sum of its proper divisors (9975992).

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

9152968 is a wasteful number, since it uses less digits than its factorization.

9152968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2273 counting only the distinct ones).

The product of its digits is 38880, while the sum is 40.

The square root of 9152968 is about 3025.3872479403. The cubic root of 9152968 is about 209.1802356945.

It can be divided in two parts, 915 and 2968, that added together give a palindrome (3883).

The spelling of 9152968 in words is "nine million, one hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 2213 4136 4426 8852 17704 24343 48686 97372 104011 194744 208022 416044 832088 1144121 2288242 4576484 9152968