Base | Representation |
---|---|
bin | 10001001111011100… |
… | …01110100001000100 |
3 | 212220002111000110000 |
4 | 20213232032201010 |
5 | 122424112122400 |
6 | 4130300001300 |
7 | 445244540154 |
oct | 104756164104 |
9 | 25802430400 |
10 | 9256364100 |
11 | 3a1aa81395 |
12 | 1963b30230 |
13 | b46910629 |
14 | 63b4aa764 |
15 | 39296b600 |
hex | 227b8e844 |
9256364100 has 135 divisors (see below), whose sum is σ = 30033570567. Its totient is φ = 2466054720.
The previous prime is 9256364077. The next prime is 9256364113. The reversal of 9256364100 is 14636529.
It is a happy number.
The square root of 9256364100 is 96210.
It is a perfect power (a square), and thus also a powerful number.
9256364100 is a `hidden beast` number, since 9 + 2 + 5 + 6 + 3 + 641 + 0 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 278422596 + 8977941504 = 16686^2 + 94752^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8658366 + ... + 8659434.
Almost surely, 29256364100 is an apocalyptic number.
9256364100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.
9256364100 is the 96210-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9256364100
9256364100 is an abundant number, since it is smaller than the sum of its proper divisors (20777206467).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9256364100 is a wasteful number, since it uses less digits than its factorization.
9256364100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2164 (or 1079 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The cubic root of 9256364100 is about 2099.6495333510.
Multiplying 9256364100 by its sum of digits (36), we get a square (333229107600 = 5772602).
9256364100 divided by its sum of digits (36) gives a square (257121225 = 160352).
The spelling of 9256364100 in words is "nine billion, two hundred fifty-six million, three hundred sixty-four thousand, one hundred".
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