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9945800 = 23522232
BaseRepresentation
bin100101111100…
…001011001000
3200201022001222
4211330023020
510021231200
6553101212
7150352334
oct45741310
920638058
109945800
115683477
1233b7808
1320a2cb7
14146c7c4
15d16d85
hex97c2c8

9945800 has 36 divisors (see below), whose sum is σ = 23228145. Its totient is φ = 3960480.

The previous prime is 9945781. The next prime is 9945841. The reversal of 9945800 is 85499.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9746884 + 198916 = 3122^2 + 446^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2230.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 44489 + ... + 44711.

Almost surely, 29945800 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 9945800

9945800 is an abundant number, since it is smaller than the sum of its proper divisors (13282345).

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

9945800 is a wasteful number, since it uses less digits than its factorization.

9945800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 9945800 is about 3153.6962440920. The cubic root of 9945800 is about 215.0535291270.

The spelling of 9945800 in words is "nine million, nine hundred forty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 223 446 892 1115 1784 2230 4460 5575 8920 11150 22300 44600 49729 99458 198916 248645 397832 497290 994580 1243225 1989160 2486450 4972900 9945800