| Base | Representation |
|---|---|
| bin | 10000110001110110… |
| … | …01011101111010000 |
| 3 | 212020210100000100110 |
| 4 | 20120323023233100 |
| 5 | 121422033233402 |
| 6 | 4045510521320 |
| 7 | 436141415034 |
| oct | 103073135720 |
| 9 | 25223300313 |
| 10 | 9008102352 |
| 11 | 3902925697 |
| 12 | 18b4966240 |
| 13 | b073591a2 |
| 14 | 6165241c4 |
| 15 | 37ac7c56c |
| hex | 218ecbbd0 |
9008102352 has 80 divisors (see below), whose sum is σ = 24312729600. Its totient is φ = 2868598656.
The previous prime is 9008102347. The next prime is 9008102353. The reversal of 9008102352 is 2532018009.
It is a happy number.
9008102352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×90081023522 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9008102353) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974649 + ... + 983847.
It is an arithmetic number, because the mean of its divisors is an integer number (303909120).
Almost surely, 29008102352 is an apocalyptic number.
9008102352 is a gapful number since it is divisible by the number (92) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9008102352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156364800).
9008102352 is an abundant number, since it is smaller than the sum of its proper divisors (15304627248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9008102352 is a wasteful number, since it uses less digits than its factorization.
9008102352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10120 (or 10114 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 30.
The square root of 9008102352 is about 94911.0233429184. The cubic root of 9008102352 is about 2080.7078421746.
The spelling of 9008102352 in words is "nine billion, eight million, one hundred two thousand, three hundred fifty-two".
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