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96052320 = 25325713733
BaseRepresentation
bin1011011100110…
…10010001100000
320200201222000100
411232122101200
5144042133240
613310422400
72244300630
oct556322140
9220658010
1096052320
114a245591
1228201a00
1316b909c0
14ca846c0
158674e30
hex5b9a460

96052320 has 288 divisors, whose sum is σ = 403970112. Its totient is φ = 20238336.

The previous prime is 96052289. The next prime is 96052337. The reversal of 96052320 is 2325069.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130674 + ... + 131406.

It is an arithmetic number, because the mean of its divisors is an integer number (1402674).

Almost surely, 296052320 is an apocalyptic number.

96052320 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 96052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201985056).

96052320 is an abundant number, since it is smaller than the sum of its proper divisors (307917792).

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

96052320 is a wasteful number, since it uses less digits than its factorization.

96052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 96052320 is about 9800.6285512716. The cubic root of 96052320 is about 457.9688644827.

Adding to 96052320 its reverse (2325069), we get a palindrome (98377389).

The spelling of 96052320 in words is "ninety-six million, fifty-two thousand, three hundred twenty".