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988530480 = 243457193137
BaseRepresentation
bin111010111010111…
…100011100110000
32112220002112220000
4322322330130300
54011030433410
6242031350000
733332241030
oct7272743460
92486075800
10988530480
11467aaa643
12237082300
13129a527a2
14954038c0
155bbb7dc0
hex3aebc730

988530480 has 800 divisors, whose sum is σ = 4378767360. Its totient is φ = 201553920.

The previous prime is 988530469. The next prime is 988530481. The reversal of 988530480 is 84035889.

988530480 is a `hidden beast` number, since 98 + 85 + 3 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (988530481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26717022 + ... + 26717058.

Almost surely, 2988530480 is an apocalyptic number.

988530480 is a gapful number since it is divisible by the number (90) 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 988530480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189383680).

988530480 is an abundant number, since it is smaller than the sum of its proper divisors (3390236880).

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

988530480 is a wasteful number, since it uses less digits than its factorization.

988530480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 988530480 is about 31440.9045671399. The cubic root of 988530480 is about 996.1621161575.

The spelling of 988530480 in words is "nine hundred eighty-eight million, five hundred thirty thousand, four hundred eighty".