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9946953 = 321105217
BaseRepresentation
bin100101111100…
…011101001001
3200201100122200
4211330131021
510021300303
6553110413
7150355602
oct45743511
920640580
109946953
115684325
1233b8409
1320a3693
14146cda9
15d173a3
hex97c749

9946953 has 6 divisors (see below), whose sum is σ = 14367834. Its totient is φ = 6631296.

The previous prime is 9946943. The next prime is 9946957. The reversal of 9946953 is 3596499.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7033104 + 2913849 = 2652^2 + 1707^2 .

It is not a de Polignac number, because 9946953 - 29 = 9946441 is a prime.

It is a d-powerful number, because it can be written as 9 + 94 + 47 + 67 + 97 + 57 + 314 .

It is a junction number, because it is equal to n+sod(n) for n = 9946899 and 9946908.

It is not an unprimeable number, because it can be changed into a prime (9946957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 552600 + ... + 552617.

It is an arithmetic number, because the mean of its divisors is an integer number (2394639).

Almost surely, 29946953 is an apocalyptic number.

It is an amenable number.

9946953 is a deficient number, since it is larger than the sum of its proper divisors (4420881).

9946953 is a wasteful number, since it uses less digits than its factorization.

9946953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105223 (or 1105220 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 9946953 is about 3153.8790401663. The cubic root of 9946953 is about 215.0618390715.

The spelling of 9946953 in words is "nine million, nine hundred forty-six thousand, nine hundred fifty-three".

Divisors: 1 3 9 1105217 3315651 9946953