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96016064 = 2612711813
BaseRepresentation
bin1011011100100…
…01011011000000
320200200010021112
411232101123000
5144040003224
613305542452
72244060134
oct556213300
9220603245
1096016064
114a220321
12281a4a28
1316b7a351
14ca753c4
15866930e
hex5b916c0

96016064 has 28 divisors (see below), whose sum is σ = 192048384. Its totient is φ = 47625984.

The previous prime is 96016061. The next prime is 96016091. The reversal of 96016064 is 46061069.

96016064 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 96016064.

It is not an unprimeable number, because it can be changed into a prime (96016061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2222 + ... + 14034.

Almost surely, 296016064 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 96016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96024192).

96016064 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

96016064 is a wasteful number, since it uses less digits than its factorization.

96016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11952 (or 11942 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 96016064 is about 9798.7786994094. The cubic root of 96016064 is about 457.9112354436.

The spelling of 96016064 in words is "ninety-six million, sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 8128 11813 23626 47252 94504 189008 378016 756032 1500251 3000502 6001004 12002008 24004016 48008032 96016064