Base | Representation |
---|---|
bin | 100100001000… |
… | …101111001000 |
3 | 122211021110200 |
4 | 210020233020 |
5 | 4411113333 |
6 | 535012200 |
7 | 143342661 |
oct | 44105710 |
9 | 18737420 |
10 | 9472968 |
11 | 53901aa |
12 | 320a060 |
13 | 1c68a0b |
14 | 1388368 |
15 | c71c13 |
hex | 908bc8 |
9472968 has 48 divisors (see below), whose sum is σ = 26289900. Its totient is φ = 3079680.
The previous prime is 9472951. The next prime is 9472979. The reversal of 9472968 is 8692749.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 8892324 + 580644 = 2982^2 + 762^2 .
It is a zygodrome in base 5.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1348 + ... + 4556.
Almost surely, 29472968 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 9472968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13144950).
9472968 is an abundant number, since it is smaller than the sum of its proper divisors (16816932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9472968 is a wasteful number, since it uses less digits than its factorization.
9472968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3262 (or 3255 counting only the distinct ones).
The product of its digits is 217728, while the sum is 45.
The square root of 9472968 is about 3077.8187081113. The cubic root of 9472968 is about 211.5901063004.
It can be divided in two parts, 9472 and 968, that added together give a triangular number (10440 = T144).
The spelling of 9472968 in words is "nine million, four hundred seventy-two thousand, nine hundred sixty-eight".
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