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9382961 = 72533613
BaseRepresentation
bin100011110010…
…110000110001
3122122201000002
4203302300301
54400223321
6533035345
7142516400
oct43626061
918581002
109382961
115329615
123185b55
131c36a63
141363637
15c5520b
hex8f2c31

9382961 has 12 divisors (see below), whose sum is σ = 11123892. Its totient is φ = 7888608.

The previous prime is 9382951. The next prime is 9382969. The reversal of 9382961 is 1692839.

It can be written as a sum of positive squares in 2 ways, for example, as 2307361 + 7075600 = 1519^2 + 2660^2 .

It is a de Polignac number, because none of the positive numbers 2k-9382961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9382969) 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 11 ways as a sum of consecutive naturals, for example, 791 + ... + 4403.

It is an arithmetic number, because the mean of its divisors is an integer number (926991).

Almost surely, 29382961 is an apocalyptic number.

It is an amenable number.

9382961 is a deficient number, since it is larger than the sum of its proper divisors (1740931).

9382961 is a wasteful number, since it uses less digits than its factorization.

9382961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3673 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 9382961 is about 3063.1619284654. The cubic root of 9382961 is about 210.9178344831.

The spelling of 9382961 in words is "nine million, three hundred eighty-two thousand, nine hundred sixty-one".

Divisors: 1 7 49 53 371 2597 3613 25291 177037 191489 1340423 9382961