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988765056 = 273583383
BaseRepresentation
bin111010111011110…
…101101110000000
32112220112110200000
4322323311232000
54011110440211
6242040400000
733334235646
oct7273655600
92486473600
10988765056
1146814a904
12237176000
13129b054a6
1495465196
155bc12656
hex3aef5b80

988765056 has 192 divisors, whose sum is σ = 2994001920. Its totient is φ = 324767232.

The previous prime is 988764989. The next prime is 988765079. The reversal of 988765056 is 650567889.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 988764993 and 988765011.

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 23 ways as a sum of consecutive naturals, for example, 2581441 + ... + 2581823.

It is an arithmetic number, because the mean of its divisors is an integer number (15593760).

Almost surely, 2988765056 is an apocalyptic number.

988765056 is a gapful number since it is divisible by the number (96) 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 988765056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497000960).

988765056 is an abundant number, since it is smaller than the sum of its proper divisors (2005236864).

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

988765056 is an equidigital number, since it uses as much as digits as its factorization.

988765056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 988765056 is about 31444.6347728830. The cubic root of 988765056 is about 996.2409055822.

The spelling of 988765056 in words is "nine hundred eighty-eight million, seven hundred sixty-five thousand, fifty-six".