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96480648 = 233211432833
BaseRepresentation
bin1011100000000…
…10110110001000
320201112201120100
411300002312020
5144144340043
613323525400
72251033455
oct560026610
9221481510
1096480648
114a508380
1228389860
1316cb0954
14cb5682c
15870bcd3
hex5c02d88

96480648 has 96 divisors (see below), whose sum is σ = 291788640. Its totient is φ = 28546560.

The previous prime is 96480641. The next prime is 96480673. The reversal of 96480648 is 84608469.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (96480641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32640 + ... + 35472.

It is an arithmetic number, because the mean of its divisors is an integer number (3039465).

Almost surely, 296480648 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 96480648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145894320).

96480648 is an abundant number, since it is smaller than the sum of its proper divisors (195307992).

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

96480648 is a wasteful number, since it uses less digits than its factorization.

96480648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 96480648 is about 9822.4563119415. The cubic root of 96480648 is about 458.6485982869.

The spelling of 96480648 in words is "ninety-six million, four hundred eighty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 2833 2838 3096 3784 4257 5666 5676 8499 8514 11332 11352 16998 17028 22664 25497 31163 33996 34056 50994 62326 67992 93489 101988 121819 124652 186978 203976 243638 249304 280467 365457 373956 487276 560934 730914 747912 974552 1096371 1121868 1340009 1461828 2192742 2243736 2680018 2923656 4020027 4385484 5360036 8040054 8770968 10720072 12060081 16080108 24120162 32160216 48240324 96480648