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89844048 = 24327317107
BaseRepresentation
bin1010101101011…
…10100101010000
320021001112212100
411112232211100
5141000002143
612525400400
72140443000
oct526564520
9207045770
1089844048
1146795188
1226109100
13157c8c78
14bd0a000
157d4a6d3
hex55ae950

89844048 has 240 divisors, whose sum is σ = 313372800. Its totient is φ = 23933952.

The previous prime is 89844047. The next prime is 89844061. The reversal of 89844048 is 84044898.

It is a super-2 number, since 2×898440482 = 16143905922052608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89843994 and 89844012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89844043) 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 47 ways as a sum of consecutive naturals, for example, 839611 + ... + 839717.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 289844048 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 89844048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

89844048 is an abundant number, since it is smaller than the sum of its proper divisors (223528752).

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

89844048 is a wasteful number, since it uses less digits than its factorization.

89844048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 89844048 is about 9478.6100246819. The cubic root of 89844048 is about 447.8814790640.

The spelling of 89844048 in words is "eighty-nine million, eight hundred forty-four thousand, forty-eight".