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96033792 = 210343727
BaseRepresentation
bin1011011100101…
…01110000000000
320200201000121010
411232111300000
5144041040132
613310200520
72244162621
oct556256000
9220630533
1096033792
114a232678
12281b3140
1316b8543a
14ca7ba48
15866e6cc
hex5b95c00

96033792 has 88 divisors (see below), whose sum is σ = 262278016. Its totient is φ = 31223808.

The previous prime is 96033781. The next prime is 96033797. The reversal of 96033792 is 29733069.

It is a self number, because there is not a number n which added to its sum of digits gives 96033792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96033797) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 131733 + ... + 132459.

It is an arithmetic number, because the mean of its divisors is an integer number (2980432).

Almost surely, 296033792 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 96033792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131139008).

96033792 is an abundant number, since it is smaller than the sum of its proper divisors (166244224).

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

96033792 is a wasteful number, since it uses less digits than its factorization.

96033792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 96033792 is about 9799.6832601875. The cubic root of 96033792 is about 457.9394159739.

The spelling of 96033792 in words is "ninety-six million, thirty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 727 768 1024 1032 1376 1454 1536 2064 2181 2752 2908 3072 4128 4362 5504 5816 8256 8724 11008 11632 16512 17448 22016 23264 31261 33024 34896 44032 46528 62522 66048 69792 93056 93783 125044 132096 139584 186112 187566 250088 279168 372224 375132 500176 558336 744448 750264 1000352 1116672 1500528 2000704 2233344 3001056 4001408 6002112 8002816 12004224 16005632 24008448 32011264 48016896 96033792