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96399072 = 2535721123
BaseRepresentation
bin1011011111011…
…10111011100000
320201101120200000
411233232323200
5144134232242
613322100000
72250243600
oct557567340
9221346600
1096399072
114a462060
122834a600
1316c82793
14cb34c00
1586e2a4c
hex5beeee0

96399072 has 432 divisors, whose sum is σ = 376451712. Its totient is φ = 23950080.

The previous prime is 96399071. The next prime is 96399113. The reversal of 96399072 is 27099369.

96399072 is a `hidden beast` number, since 9 + 639 + 9 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×963990722 = 18585562164922368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96399071) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4191253 + ... + 4191275.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

It is a vampire number, since it can be written as 97029936 (with its own digits).

Almost surely, 296399072 is an apocalyptic number.

96399072 is a gapful number since it is divisible by the number (92) 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 96399072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

96399072 is an abundant number, since it is smaller than the sum of its proper divisors (280052640).

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

96399072 is a wasteful number, since it uses less digits than its factorization.

96399072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 96399072 is about 9818.3029083442. The cubic root of 96399072 is about 458.5192968201.

The spelling of 96399072 in words is "ninety-six million, three hundred ninety-nine thousand, seventy-two".