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96409050 = 23522937599
BaseRepresentation
bin1011011111100…
…01010111011010
320201102002100120
411233301113122
5144140042200
613322214110
72250314643
oct557612732
9221362316
1096409050
114a469601
1228354336
1316c8719a
14cb386ca
1586e59a0
hex5bf15da

96409050 has 96 divisors (see below), whose sum is σ = 254448000. Its totient is φ = 24111360.

The previous prime is 96409043. The next prime is 96409051. The reversal of 96409050 is 5090469.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (96409051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160651 + ... + 161249.

It is an arithmetic number, because the mean of its divisors is an integer number (2650500).

Almost surely, 296409050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96409050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224000).

96409050 is an abundant number, since it is smaller than the sum of its proper divisors (158038950).

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

96409050 is a wasteful number, since it uses less digits than its factorization.

96409050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 96409050 is about 9818.8110278180. The cubic root of 96409050 is about 458.5351162936.

The spelling of 96409050 in words is "ninety-six million, four hundred nine thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 37 50 58 74 75 87 111 145 150 174 185 222 290 370 435 555 599 725 870 925 1073 1110 1198 1450 1797 1850 2146 2175 2775 2995 3219 3594 4350 5365 5550 5990 6438 8985 10730 14975 16095 17371 17970 22163 26825 29950 32190 34742 44326 44925 52113 53650 66489 80475 86855 89850 104226 110815 132978 160950 173710 221630 260565 332445 434275 521130 554075 642727 664890 868550 1108150 1285454 1302825 1662225 1928181 2605650 3213635 3324450 3856362 6427270 9640905 16068175 19281810 32136350 48204525 96409050