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89876688 = 243111721931
BaseRepresentation
bin1010101101101…
…10100011010000
320021010012122020
411112312203100
5141002023223
612530211440
72140640106
oct526664320
9207105566
1089876688
1146807760
1226123b80
131580aa95
14bd17c76
157d551e3
hex55b68d0

89876688 has 240 divisors, whose sum is σ = 292362240. Its totient is φ = 23500800.

The previous prime is 89876659. The next prime is 89876723. The reversal of 89876688 is 88667898.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2899233 + ... + 2899263.

It is an arithmetic number, because the mean of its divisors is an integer number (1218176).

Almost surely, 289876688 is an apocalyptic number.

89876688 is a gapful number since it is divisible by the number (88) 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 89876688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146181120).

89876688 is an abundant number, since it is smaller than the sum of its proper divisors (202485552).

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

89876688 is a wasteful number, since it uses less digits than its factorization.

89876688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 60.

The square root of 89876688 is about 9480.3316397687. The cubic root of 89876688 is about 447.9357103750.

The spelling of 89876688 in words is "eighty-nine million, eight hundred seventy-six thousand, six hundred eighty-eight".