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96526080 = 283457219
BaseRepresentation
bin1011100000011…
…01111100000000
320201122000220000
411300031330000
5144202313310
613324520000
72251313100
oct560157400
9221560800
1096526080
114a539522
12283b0000
1316cc8531
14cb69200
15871a4c0
hex5c0df00

96526080 has 540 divisors, whose sum is σ = 422924040. Its totient is φ = 20901888.

The previous prime is 96526057. The next prime is 96526093. The reversal of 96526080 is 8062569.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080311 + ... + 5080329.

Almost surely, 296526080 is an apocalyptic number.

96526080 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 96526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211462020).

96526080 is an abundant number, since it is smaller than the sum of its proper divisors (326397960).

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

96526080 is a wasteful number, since it uses less digits than its factorization.

96526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 96526080 is about 9824.7686995674. The cubic root of 96526080 is about 458.7205783634.

The spelling of 96526080 in words is "ninety-six million, five hundred twenty-six thousand, eighty".