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98382048 = 2531317823
BaseRepresentation
bin1011101110100…
…11000011100000
320212010022210120
411313103003200
5200141211143
613432400240
72303143062
oct567230340
9225108716
1098382048
1150596986
1228b46080
13174c823b
14d0cd732
158985383
hex5dd30e0

98382048 has 48 divisors (see below), whose sum is σ = 260257536. Its totient is φ = 32539520.

The previous prime is 98382041. The next prime is 98382049. The reversal of 98382048 is 84028389.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98382041) 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 7 ways as a sum of consecutive naturals, for example, 8665 + ... + 16487.

It is an arithmetic number, because the mean of its divisors is an integer number (5422032).

Almost surely, 298382048 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 98382048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130128768).

98382048 is an abundant number, since it is smaller than the sum of its proper divisors (161875488).

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

98382048 is a wasteful number, since it uses less digits than its factorization.

98382048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7967 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 98382048 is about 9918.7725047004. The cubic root of 98382048 is about 461.6419706988.

The spelling of 98382048 in words is "ninety-eight million, three hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 7823 12576 15646 23469 31292 46938 62584 93876 125168 187752 250336 375504 751008 1024813 2049626 3074439 4099252 6148878 8198504 12297756 16397008 24595512 32794016 49191024 98382048