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990984192 = 21131123143
BaseRepresentation
bin111011000100010…
…011100000000000
32120001201012202020
4323010103200000
54012142443232
6242200121440
733362140512
oct7304234000
92501635666
10990984192
11469426100
12237a66280
1312a4015a3
1495881bb2
155beeee2c
hex3b113800

990984192 has 288 divisors, whose sum is σ = 3067384320. Its totient is φ = 283852800.

The previous prime is 990984191. The next prime is 990984217. The reversal of 990984192 is 291489099.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990984191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23046123 + ... + 23046165.

It is an arithmetic number, because the mean of its divisors is an integer number (10650640).

Almost surely, 2990984192 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 990984192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533692160).

990984192 is an abundant number, since it is smaller than the sum of its proper divisors (2076400128).

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

990984192 is a wasteful number, since it uses less digits than its factorization.

990984192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The square root of 990984192 is about 31479.9013975584. The cubic root of 990984192 is about 996.9856535117.

The spelling of 990984192 in words is "nine hundred ninety million, nine hundred eighty-four thousand, one hundred ninety-two".