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96995328 = 211315787
BaseRepresentation
bin1011100100000…
…00100000000000
320202111212120120
411302000200000
5144312322303
613342540240
72255306133
oct562004000
9222455516
1096995328
114a82a031
1228597680
1317130cb1
14cc4c21a
1587ae553
hex5c80800

96995328 has 48 divisors (see below), whose sum is σ = 258607440. Its totient is φ = 32329728.

The previous prime is 96995317. The next prime is 96995341. The reversal of 96995328 is 82359969.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1750 + ... + 14037.

It is an arithmetic number, because the mean of its divisors is an integer number (5387655).

Almost surely, 296995328 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 96995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129303720).

96995328 is an abundant number, since it is smaller than the sum of its proper divisors (161612112).

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

96995328 is a wasteful number, since it uses less digits than its factorization.

96995328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15812 (or 15792 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The square root of 96995328 is about 9848.6206140759. The cubic root of 96995328 is about 459.4627123179.

The spelling of 96995328 in words is "ninety-six million, nine hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 15787 31574 47361 63148 94722 126296 189444 252592 378888 505184 757776 1010368 1515552 2020736 3031104 4041472 6062208 8082944 12124416 16165888 24248832 32331776 48497664 96995328