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2988189288 = 2332710215807
BaseRepresentation
bin1011001000011100…
…0010011001101000
321201020210202002100
42302013002121220
522104434024123
61212303133400
7134023122060
oct26207023150
97636722070
102988189288
1112a3833927
126b48a4260
1338810a756
14204c103a0
1512750e643
hexb21c2668

2988189288 has 96 divisors (see below), whose sum is σ = 9259810560. Its totient is φ = 852785280.

The previous prime is 2988189287. The next prime is 2988189311. The reversal of 2988189288 is 8829818892.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (2988189287) 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 23 ways as a sum of consecutive naturals, for example, 511681 + ... + 517487.

It is an arithmetic number, because the mean of its divisors is an integer number (96456360).

Almost surely, 22988189288 is an apocalyptic number.

2988189288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2988189288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629905280).

2988189288 is an abundant number, since it is smaller than the sum of its proper divisors (6271621272).

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

2988189288 is a wasteful number, since it uses less digits than its factorization.

2988189288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6847 (or 6840 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 63.

The square root of 2988189288 is about 54664.3328688826. The cubic root of 2988189288 is about 1440.3544150785.

The spelling of 2988189288 in words is "two billion, nine hundred eighty-eight million, one hundred eighty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1021 2042 3063 4084 5807 6126 7147 8168 9189 11614 12252 14294 17421 18378 21441 23228 24504 28588 34842 36756 40649 42882 46456 52263 57176 64323 69684 73512 81298 85764 104526 121947 128646 139368 162596 171528 209052 243894 257292 325192 365841 418104 487788 514584 731682 975576 1463364 2926728 5928947 11857894 17786841 23715788 35573682 41502629 47431576 53360523 71147364 83005258 106721046 124507887 142294728 166010516 213442092 249015774 332021032 373523661 426884184 498031548 747047322 996063096 1494094644 2988189288