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9923928 = 2337193109
BaseRepresentation
bin100101110110…
…110101011000
3200200012001220
4211312311120
510020031203
6552412040
7150231510
oct45666530
920605056
109923928
115668aa3
1233a7020
132096061
141464840
15d10653
hex976d58

9923928 has 64 divisors (see below), whose sum is σ = 29856000. Its totient is φ = 2685312.

The previous prime is 9923923. The next prime is 9923933. The reversal of 9923928 is 8293299.

It is an interprime number because it is at equal distance from previous prime (9923923) and next prime (9923933).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 9923928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9923923) 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 15 ways as a sum of consecutive naturals, for example, 1638 + ... + 4746.

It is an arithmetic number, because the mean of its divisors is an integer number (466500).

Almost surely, 29923928 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 9923928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928000).

9923928 is an abundant number, since it is smaller than the sum of its proper divisors (19932072).

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

9923928 is a wasteful number, since it uses less digits than its factorization.

9923928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3140 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 9923928 is about 3150.2266585121. The cubic root of 9923928 is about 214.8957706436.

The spelling of 9923928 in words is "nine million, nine hundred twenty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3109 3192 6218 9327 12436 18654 21763 24872 37308 43526 59071 65289 74616 87052 118142 130578 174104 177213 236284 261156 354426 413497 472568 522312 708852 826994 1240491 1417704 1653988 2480982 3307976 4961964 9923928