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9889416 = 2332137353
BaseRepresentation
bin100101101110…
…011010001000
3200121102201200
4211232122020
510012430131
6551544200
7150026055
oct45563210
920542650
109889416
115645079
12338b060
132083434
14145602c
15d052e6
hex96e688

9889416 has 24 divisors (see below), whose sum is σ = 26784030. Its totient is φ = 3296448.

The previous prime is 9889409. The next prime is 9889417. The reversal of 9889416 is 6149889.

It can be written as a sum of positive squares in only one way, i.e., 9326916 + 562500 = 3054^2 + 750^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9889417) 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 5 ways as a sum of consecutive naturals, for example, 68605 + ... + 68748.

Almost surely, 29889416 is an apocalyptic number.

It is an amenable number.

9889416 is an abundant number, since it is smaller than the sum of its proper divisors (16894614).

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

9889416 is a wasteful number, since it uses less digits than its factorization.

9889416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137365 (or 137358 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 9889416 is about 3144.7441867344. The cubic root of 9889416 is about 214.6463701775.

It can be divided in two parts, 988 and 9416, that added together give a square (10404 = 1022).

The spelling of 9889416 in words is "nine million, eight hundred eighty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137353 274706 412059 549412 824118 1098824 1236177 1648236 2472354 3296472 4944708 9889416