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988060800 = 27352195417
BaseRepresentation
bin111010111001001…
…001110010000000
32112212012200121110
4322321021302000
54010420421200
6242013323320
733325243506
oct7271116200
92485180543
10988060800
11467809781
12236a96540
13129919a7c
1495320676
155bb23b50
hex3ae49c80

988060800 has 192 divisors, whose sum is σ = 3426343200. Its totient is φ = 249569280.

The previous prime is 988060793. The next prime is 988060807. The reversal of 988060800 is 8060889.

It is an interprime number because it is at equal distance from previous prime (988060793) and next prime (988060807).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (988060807) 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, 179692 + ... + 185108.

Almost surely, 2988060800 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 988060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713171600).

988060800 is an abundant number, since it is smaller than the sum of its proper divisors (2438282400).

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

988060800 is a wasteful number, since it uses less digits than its factorization.

988060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 988060800 is about 31433.4344289643. The cubic root of 988060800 is about 996.0043224922.

The spelling of 988060800 in words is "nine hundred eighty-eight million, sixty thousand, eight hundred".