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988256880 = 2432513195557
BaseRepresentation
bin111010111001111…
…001101001110000
32112212120122120200
4322321321221300
54010443210010
6242021435200
733330021252
oct7271715160
92485518520
10988256880
11467933026
12236b6bb00
131299880b0
1495371cd2
155bb61cc0
hex3ae79a70

988256880 has 240 divisors, whose sum is σ = 3762988320. Its totient is φ = 230418432.

The previous prime is 988256879. The next prime is 988256911. The reversal of 988256880 is 88652889.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 175062 + ... + 180618.

It is an arithmetic number, because the mean of its divisors is an integer number (15679118).

Almost surely, 2988256880 is an apocalyptic number.

988256880 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 988256880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881494160).

988256880 is an abundant number, since it is smaller than the sum of its proper divisors (2774731440).

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

988256880 is a wasteful number, since it uses less digits than its factorization.

988256880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 988256880 is about 31436.5532461814. The cubic root of 988256880 is about 996.0702035966.

The spelling of 988256880 in words is "nine hundred eighty-eight million, two hundred fifty-six thousand, eight hundred eighty".