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9983946 = 2372291171
BaseRepresentation
bin100110000101…
…011111001010
3200210020101210
4212011133022
510023441241
6553553550
7150601500
oct46053712
920706353
109983946
1156aa0a5
1234158b6
1320b747b
14147c670
15d23316
hex9857ca

9983946 has 48 divisors (see below), whose sum is σ = 24049440. Its totient is φ = 2751840.

The previous prime is 9983929. The next prime is 9983959. The reversal of 9983946 is 6493899.

It is a happy number.

9983946 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

9983946 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 9983895 and 9983904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7941 + ... + 9111.

It is an arithmetic number, because the mean of its divisors is an integer number (501030).

Almost surely, 29983946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9983946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12024720).

9983946 is an abundant number, since it is smaller than the sum of its proper divisors (14065494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9983946 is a wasteful number, since it uses less digits than its factorization.

9983946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1212 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 9983946 is about 3159.7382803011. The cubic root of 9983946 is about 215.3281162703.

The spelling of 9983946 in words is "nine million, nine hundred eighty-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 1171 1218 1421 2342 2842 3513 4263 7026 8197 8526 16394 24591 33959 49182 57379 67918 101877 114758 172137 203754 237713 344274 475426 713139 1426278 1663991 3327982 4991973 9983946